Journal of Geometry and Physics最新文献

英文中文

Some results on m-Bach soliton 关于m-巴赫孤子的一些结果

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics

Pub Date : 2026-01-01 Epub Date: 2025-11-19 DOI: 10.1016/j.geomphys.2025.105711

Prosenjit Mandal , Absos Ali Shaikh , Prince Majeed

This paper intends to the study of compact as well as non-compact m-Bach soliton. We have shown that a compact m-Bach soliton with either

m > 0

and

σ \geq 0

m < 0

and

σ \leq 0

is Bach flat. Later, in dimension 4 with non-zero Ricci curvature, we have manifested that a gradient m-Bach soliton is Bach flat. Again, we have determined the nature of the potential vector field on an m-Bach soliton as a conformal motion and acquired that such a motion becomes homothetic and the potential vector field is trivial. Also, in a 4-dimensional compact gradient m-Bach soliton with a condition we have established that the soliton vector field is Killing, and also deduced with an another condition that the soliton becomes steady. Furthermore, we have achieved that in a compact m-Bach soliton, the potential function differs from the Hodge-de Rham potential only by a constant. Finally, depending on the sign of m, it is demonstrated that an m-Bach soliton which is non-compact with a restriction on the potential vector field is either non-shrinking or non-expanding.

本文主要研究紧致和非紧致m-巴赫孤子。我们证明了m>；0且σ≥0或m<；0且σ≤0的紧致m-巴赫孤子是巴赫平坦的。随后，在具有非零里奇曲率的第4维中，我们证明了梯度m-巴赫孤子是巴赫平坦的。同样，我们已经确定了m-巴赫孤子上的势向量场作为共形运动的性质，并且得到了这样的运动是齐次的，势向量场是平凡的。此外，在四维紧致梯度m-Bach孤子中，我们建立了孤子矢量场为Killing的条件，并推导了孤子趋于稳定的另一个条件。此外，我们还发现在紧致m-巴赫孤子中，势函数与霍奇-德拉姆势只相差一个常数。最后，根据m的符号，证明了具有势向量场限制的非紧化m- bach孤子要么不收缩要么不膨胀。

{"title":"Some results on m-Bach soliton","authors":"Prosenjit Mandal , Absos Ali Shaikh , Prince Majeed","doi":"10.1016/j.geomphys.2025.105711","DOIUrl":"10.1016/j.geomphys.2025.105711","url":null,"abstract":"<div><div>This paper intends to the study of compact as well as non-compact <em>m</em>-Bach soliton. We have shown that a compact <em>m</em>-Bach soliton with either <span><math><mi>m</mi><mo>></mo><mn>0</mn></math></span> and <span><math><mi>σ</mi><mo>≥</mo><mn>0</mn></math></span> or <span><math><mi>m</mi><mo><</mo><mn>0</mn></math></span> and <span><math><mi>σ</mi><mo>≤</mo><mn>0</mn></math></span> is Bach flat. Later, in dimension 4 with non-zero Ricci curvature, we have manifested that a gradient <em>m</em>-Bach soliton is Bach flat. Again, we have determined the nature of the potential vector field on an <em>m</em>-Bach soliton as a conformal motion and acquired that such a motion becomes homothetic and the potential vector field is trivial. Also, in a 4-dimensional compact gradient <em>m</em>-Bach soliton with a condition we have established that the soliton vector field is Killing, and also deduced with an another condition that the soliton becomes steady. Furthermore, we have achieved that in a compact <em>m</em>-Bach soliton, the potential function differs from the Hodge-de Rham potential only by a constant. Finally, depending on the sign of <em>m</em>, it is demonstrated that an <em>m</em>-Bach soliton which is non-compact with a restriction on the potential vector field is either non-shrinking or non-expanding.</div></div>","PeriodicalId":55602,"journal":{"name":"Journal of Geometry and Physics","volume":"219 ","pages":"Article 105711"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145579506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Comparison of Levi-Civita connections in noncommutative geometry 非交换几何中Levi-Civita连接的比较

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics

Pub Date : 2026-01-01 Epub Date: 2025-11-03 DOI: 10.1016/j.geomphys.2025.105690

Alexander Flamant , Bram Mesland , Adam Rennie

We compare the constructions of Levi-Civita connections for noncommutative algebras developed in [2], [8], [15]. The assumptions in these various constructions differ, but when they are all defined, we provide direct translations between them. An essential assumption is that the (indefinite) Hermitian inner product on differential forms/vector fields provides an isomorphism with the module dual. By exploiting our translations and clarifying the simplifications that occur for centred bimodules, we extend the existence results for Hermitian torsion-free connections in [2], [8].

我们比较了[2]，[8]，[15]中非交换代数的Levi-Civita连接的构造。这些不同结构中的假设是不同的，但是当它们都被定义时，我们提供它们之间的直接翻译。一个重要的假设是微分形式/向量场上的（不定）厄密内积提供了与模对偶的同构。通过利用我们的翻译和澄清对中心双模的简化，我们推广了[2]，[8]中埃尔米无扭连接的存在性结果。

引用次数: 0

H-covering of a supermanifold 超流形的h覆盖

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics

Pub Date : 2026-01-01 Epub Date: 2025-11-20 DOI: 10.1016/j.geomphys.2025.105716

Fernando A.Z. Santamaria, Elizaveta Vishnyakova

We develop the theory of H-graded manifolds for any finitely generated abelian group, using tools from representation theory. Furthermore, we introduce and investigate the notion of H-graded coverings of supermanifolds in the case where H is a finite abelian group.

我们利用表示理论的工具，发展了任意有限生成阿贝尔群的h阶流形理论。进一步，我们引入并研究了H是有限阿贝尔群时超流形的H级覆盖的概念。

引用次数: 0

Equations of motion for dynamical systems with angular momentum on Finsler geometries 芬斯勒几何上角动量动力系统的运动方程

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics

Pub Date : 2026-01-01 Epub Date: 2025-11-07 DOI: 10.1016/j.geomphys.2025.105701

Loïc Marsot, Yuzhang Liu

This article aims to derive equations of motion for dynamical systems with angular momentum on Finsler geometries. To this end, we apply Souriau's Principle of General Covariance, which is a geometrical framework to derive diffeomorphism invariant equations of motion. The equations we obtain are the generalization of that of Mathisson-Papapetrou-Dixon (MPD) on Finsler geometries, and we give their conserved quantities which turn out to be formally identical to the Riemannian case.

These equations share the same properties as the MPD equations, and we mention different choices possible for supplementary conditions to close this system of equations. These equations have an additional requirement, which is the choice of what defines the tangent direction of the Finsler manifold, since the velocity and momentum are not parallel in general. After choosing the momentum as the Finsler direction and to define the center of mass, we give the complete equations of motion in 3 spatial dimensions, which we find coincide to previously known equations for Finsler spinoptics, and novel equations in 4 dimensions for massive and massless dynamical systems.

本文的目的是推导出在芬斯勒几何上具有角动量的动力系统的运动方程。为此，我们应用广义协方差原理这一几何框架来推导微分同态不变运动方程。我们得到的方程是对芬斯勒几何的mathison - papapetrouo - dixon （MPD）方程的推广，并给出了它们的守恒量，这些守恒量在形式上与黎曼情况相同。这些方程与MPD方程具有相同的性质，并且我们提到了闭合该方程组的补充条件的不同选择。这些方程有一个额外的要求，即选择定义芬斯勒流形的切线方向，因为速度和动量通常不平行。在选择动量作为芬斯勒方向并定义质心之后，我们给出了完整的三维空间运动方程，我们发现这些方程与先前已知的芬斯勒自旋光学方程一致，并且在有质量和无质量动力系统中给出了新的四维方程。

{"title":"Equations of motion for dynamical systems with angular momentum on Finsler geometries","authors":"Loïc Marsot, Yuzhang Liu","doi":"10.1016/j.geomphys.2025.105701","DOIUrl":"10.1016/j.geomphys.2025.105701","url":null,"abstract":"<div><div>This article aims to derive equations of motion for dynamical systems with angular momentum on Finsler geometries. To this end, we apply Souriau's Principle of General Covariance, which is a geometrical framework to derive diffeomorphism invariant equations of motion. The equations we obtain are the generalization of that of Mathisson-Papapetrou-Dixon (MPD) on Finsler geometries, and we give their conserved quantities which turn out to be formally identical to the Riemannian case.</div><div>These equations share the same properties as the MPD equations, and we mention different choices possible for supplementary conditions to close this system of equations. These equations have an additional requirement, which is the choice of what defines the tangent direction of the Finsler manifold, since the velocity and momentum are not parallel in general. After choosing the momentum as the Finsler direction and to define the center of mass, we give the complete equations of motion in 3 spatial dimensions, which we find coincide to previously known equations for Finsler spinoptics, and novel equations in 4 dimensions for massive and massless dynamical systems.</div></div>","PeriodicalId":55602,"journal":{"name":"Journal of Geometry and Physics","volume":"219 ","pages":"Article 105701"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145529319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Higher-order Euler–Poincaré field equations 高阶欧拉-庞卡罗场方程

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics

Pub Date : 2026-01-01 Epub Date: 2025-11-05 DOI: 10.1016/j.geomphys.2025.105693

Marco Castrillón López , Álvaro Rodríguez Abella

We develop a reduction theory for G-invariant Lagrangian field theories defined on the higher-order jet bundle of a principal G-bundle, thus obtaining the higher-order Euler–Poincaré field equations. To that end, we transfer the Hamilton's principle to the reduced configuration bundle, which is identified with the bundle of flat connections (up to a certain order) of the principal G-bundle. As a result, the reconstruction condition is always satisfied and, hence, every solution of the reduced field equations locally comes from a solution of the original (unreduced) equations. Furthermore, the reduced equations are shown to be equivalent to the conservation of the Noether current. Lastly, we illustrate the theory by investigating multivariate higher-order splines on Lie groups.

我们对定义在主g束的高阶射流束上的g不变拉格朗日场理论建立了约简理论，从而得到了高阶欧拉-庞卡罗莱场方程。为此，我们将汉密尔顿原理转化为简化构型束，该简化构型束与主g束的平面连接束（直至某一阶）相一致。因此，重构条件总是满足的，因此，每个局部化约场方程的解都来自原始（未化约）方程的解。此外，还证明了简化后的方程与诺特电流守恒等效。最后，我们通过研究李群上的多元高阶样条来说明这一理论。

引用次数: 0

Positive and negative (2+1)-dimensional multi-component AKNS hierarchies associated with Hermitian symmetric spaces and their integrable decompositions 与厄密对称空间相关的正负（2+1）维多分量AKNS层次及其可积分解

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics

Pub Date : 2026-01-01 Epub Date: 2025-11-04 DOI: 10.1016/j.geomphys.2025.105692

Shuping Huang , Xiaoming Zhu

This paper presents multi-component integrable generalizations of both the positive and negative (2+1)-dimensional Ablowitz-Kaup-Newell-Segur (AKNS) hierarchies, associated with the A.III, BD.I, C.I, and D.III classes of irreducible Hermitian symmetric spaces. Utilizing recursive operators and symmetric reductions, it is demonstrated that, with two exceptions, the

(n_{2} - n_{1} + 1)

-flow of each (2+1)-dimensional multi-component AKNS hierarchy, corresponding to an irreducible Hermitian symmetric space, can be decomposed into the

n_{1}

- and

n_{2}

-flows of the respective (1+1)-dimensional multi-component AKNS hierarchy. These results reveal the structural connections between (1+1)- and (2+1)-dimensional integrable hierarchies, offering a rigorous basis for further investigations of multi-component hierarchies arising from Hermitian symmetric spaces.

本文给出了与不可约密尔对称空间的A.III， BD.I, c.i.和D.III类相关的正（2+1）维ablowitz - kap - newwell - segur （AKNS）层次的多分量可积推广。利用递归算子和对称约简，证明了在两个例外情况下，对应于不可约厄米对称空间的每个（2+1）维多分量AKNS层次的(n2−n1+1)-流可以分解为各自（1+1）维多分量AKNS层次的n1-流和n2-流。这些结果揭示了(1+1)-和（2+1）维可积层次之间的结构联系，为进一步研究厄米对称空间中产生的多分量层次提供了严格的基础。

{"title":"Positive and negative (2+1)-dimensional multi-component AKNS hierarchies associated with Hermitian symmetric spaces and their integrable decompositions","authors":"Shuping Huang , Xiaoming Zhu","doi":"10.1016/j.geomphys.2025.105692","DOIUrl":"10.1016/j.geomphys.2025.105692","url":null,"abstract":"<div><div>This paper presents multi-component integrable generalizations of both the positive and negative (2+1)-dimensional Ablowitz-Kaup-Newell-Segur (AKNS) hierarchies, associated with the A.III, BD.I, C.I, and D.III classes of irreducible Hermitian symmetric spaces. Utilizing recursive operators and symmetric reductions, it is demonstrated that, with two exceptions, the <span><math><mo>(</mo><msub><mrow><mi>n</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>−</mo><msub><mrow><mi>n</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>+</mo><mn>1</mn><mo>)</mo></math></span>-flow of each (2+1)-dimensional multi-component AKNS hierarchy, corresponding to an irreducible Hermitian symmetric space, can be decomposed into the <span><math><msub><mrow><mi>n</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>- and <span><math><msub><mrow><mi>n</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-flows of the respective (1+1)-dimensional multi-component AKNS hierarchy. These results reveal the structural connections between (1+1)- and (2+1)-dimensional integrable hierarchies, offering a rigorous basis for further investigations of multi-component hierarchies arising from Hermitian symmetric spaces.</div></div>","PeriodicalId":55602,"journal":{"name":"Journal of Geometry and Physics","volume":"219 ","pages":"Article 105692"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145442560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Riemannian flow techniques on totally geodesic null hypersurfaces 全测地线零超曲面上的黎曼流技术

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics

Pub Date : 2026-01-01 Epub Date: 2025-11-13 DOI: 10.1016/j.geomphys.2025.105709

Manuel Gutiérrez , Raymond A. Hounnonkpe

We study the influence of the existence of totally geodesic null hypersurface on the properties of a Lorentzian manifold. By coupling the rigging technique with the existence of a null foliation we prove the existence of a Riemann flow structure which allows us to use some powerful results to show how curvature conditions on the spacetime restrict its causal structure. We also study the existence of periodic null or spacelike geodesic.

研究了完全测地线零超曲面的存在性对洛伦兹流形性质的影响。通过将索具技术与零叶理的存在性相结合，我们证明了黎曼流结构的存在性，这使我们能够使用一些强有力的结果来说明时空上的曲率条件如何限制其因果结构。我们还研究了周期零测地线或类空间测地线的存在性。

引用次数: 0

Manin triples for double Lie bialgebroids 双李双代数群的Manin三元组

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics

Pub Date : 2026-01-01 Epub Date: 2025-11-19 DOI: 10.1016/j.geomphys.2025.105710

Ana Carolina Mançur

We verify that LA-Courant algebroids provide the Manin triple framework for double Lie bialgebroids. Specifically, we establish a correspondence between double Lie bialgebroids and LA-Manin triples, i.e., LA-Courant algebroids equipped with a pair of complementary LA-Dirac structures. As an application, LA-Courant algebroids and CA-groupoids given by Drinfeld doubles are shown to correspond via integration and differentiation.

我们验证了LA-Courant代数群为双李双代数群提供了Manin三重框架。具体来说，我们建立了双李双代数群与LA-Manin三元组之间的对应关系，即具有一对互补的LA-Dirac结构的LA-Courant代数群。作为一个应用，通过积分和微分证明了由Drinfeld double给出的LA-Courant代数群和ca -群是对应的。

引用次数: 0

Reciprocal relations for orthogonal quantum matrices 正交量子矩阵的互反关系

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics

Pub Date : 2026-01-01 Epub Date: 2025-11-19 DOI: 10.1016/j.geomphys.2025.105718

Oleg Ogievetsky , Pavel Pyatov

For the family of the orthogonal quantum matrix algebras we investigate the structure of their characteristic subalgebras — special commutative subalgebras, which for the subfamily of the reflection equation algebras appear to be central. In [35] we described three generating sets of the characteristic subalgebras of the symplectic and orthogonal quantum matrix algebras. One of these — the set of the elementary sums — is finite. In the symplectic case the elementary sums are in general algebraically independent. On the contrary, in the orthogonal case the elementary sums turn out to be dependent. We obtain a set of quadratic relations for these generators. We call these relations ‘reciprocal’ because they lie at the heart of the reciprocal (sometimes called palindromic) property of the characteristic polynomial of the orthogonal quantum matrices. Next, we resolve the reciprocal relations for the quantum orthogonal matrix algebra extended by the inverse of the quantum matrix. As an auxiliary result, we derive the commutation relations between the q-determinant of the quantum orthogonal matrix and the generators of the quantum matrix algebra, that is, the components of the quantum matrix.

对于正交量子矩阵代数族，我们研究了它们的特征子代数——特殊交换子代数的结构，它们对于反射方程代数族来说是中心的。在[35]中，我们描述了辛和正交量子矩阵代数的特征子代数的三个生成集。其中之一——初等和的集合——是有限的。在辛情况下，初等和通常是代数无关的。相反，在正交的情况下，初等和是相关的。我们得到了这些发生器的一组二次关系。我们称这些关系为“互反”，因为它们是正交量子矩阵特征多项式互反（有时称为回文）性质的核心。其次，我们解决了由量子矩阵的逆扩展的量子正交矩阵代数的互反关系。作为辅助结果，我们导出了量子正交矩阵的q行列式与量子矩阵代数的生成元（即量子矩阵的分量）之间的交换关系。

{"title":"Reciprocal relations for orthogonal quantum matrices","authors":"Oleg Ogievetsky , Pavel Pyatov","doi":"10.1016/j.geomphys.2025.105718","DOIUrl":"10.1016/j.geomphys.2025.105718","url":null,"abstract":"<div><div>For the family of the orthogonal quantum matrix algebras we investigate the structure of their characteristic subalgebras — special commutative subalgebras, which for the subfamily of the reflection equation algebras appear to be central. In <span><span>[35]</span></span> we described three generating sets of the characteristic subalgebras of the symplectic and orthogonal quantum matrix algebras. One of these — the set of the elementary sums — is finite. In the symplectic case the elementary sums are in general algebraically independent. On the contrary, in the orthogonal case the elementary sums turn out to be dependent. We obtain a set of quadratic relations for these generators. We call these relations ‘reciprocal’ because they lie at the heart of the reciprocal (sometimes called palindromic) property of the characteristic polynomial of the orthogonal quantum matrices. Next, we resolve the reciprocal relations for the quantum orthogonal matrix algebra extended by the inverse of the quantum matrix. As an auxiliary result, we derive the commutation relations between the <em>q</em>-determinant of the quantum orthogonal matrix and the generators of the quantum matrix algebra, that is, the components of the quantum matrix.</div></div>","PeriodicalId":55602,"journal":{"name":"Journal of Geometry and Physics","volume":"219 ","pages":"Article 105718"},"PeriodicalIF":1.2,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145579509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On supercurves of genus 1 with an underlying odd spin structure 具有下伏奇自旋结构的1属超曲线

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics

Pub Date : 2025-12-01 Epub Date: 2025-10-10 DOI: 10.1016/j.geomphys.2025.105674

Alexander Polishchuk

We study the standard family of supercurves of genus 1 with underlying odd spin structures. We give a simple algebraic description of this family and of the compactified family of stable supercurves with one Neveu-Schwarz puncture. We also describe the Gauss-Manin connection on the 1st de Rham cohomology of this family, and compute the superperiods of global differentials.

研究了具有奇自旋结构的1属超曲线标准族。我们给出了这个族和具有一个Neveu-Schwarz穿孔的紧化稳定超曲线族的简单代数描述。我们还描述了这个族的第1 de Rham上同调上的gaas - manin连接，并计算了全局微分的超周期。

引用次数: 0

首页上一页

下一页尾页

类型

全部化学•材料生命科学医学物理工程技术环境•农林材料科学地球科学法学管理学化学环境科学与生态学计算机科学教育学经济学农林科学人文科学生物学数学物理与天体物理心理学综合性期刊其他工业工程理学历史学农学文学信息工程

数据库

全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley

期刊

Journal of Geometry and Physics

全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.

﹀