Pub Date : 2023-05-05DOI: 10.1142/s0129167x23500489
N. Shimamoto
{"title":"Description of GL3-orbits on the quadruple projective spaces","authors":"N. Shimamoto","doi":"10.1142/s0129167x23500489","DOIUrl":"https://doi.org/10.1142/s0129167x23500489","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48693429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-28DOI: 10.1142/s0129167x23920015
R. Gurjar, S. Gurjar
{"title":"Erratum: Topological characterization of ℂ2 via open algebraic surface theory","authors":"R. Gurjar, S. Gurjar","doi":"10.1142/s0129167x23920015","DOIUrl":"https://doi.org/10.1142/s0129167x23920015","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48884280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-26DOI: 10.1142/s0129167x23500738
Mainak Ghosh
A Q-system is a unitary version of a separable Frobenius algebra object in a C*-tensor category or a C*-2-category. We prove that, for C*-2-categories $mcal C$ and $mcal D$, the C*-2-category $textbf{Fun}(mcal C, mcal D)$ of $ * $-$ 2 $-functors, $ * $-$ 2 $-transformations and $ * $-$ 2 $-modifications is Q-system complete, whenever $mcal D$ is Q-system complete. We use this result to provide a characterisation of Q-system complete categories in terms of $ * $-$ 2 $-functors and to prove that the $ 2 $-category of actions of a unitary fusion category $mcal C$ on C*-algebras is Q-system complete.
{"title":"Q-SYSTEM COMPLETION OF 2-FUNCTORS","authors":"Mainak Ghosh","doi":"10.1142/s0129167x23500738","DOIUrl":"https://doi.org/10.1142/s0129167x23500738","url":null,"abstract":"A Q-system is a unitary version of a separable Frobenius algebra object in a C*-tensor category or a C*-2-category. We prove that, for C*-2-categories $mcal C$ and $mcal D$, the C*-2-category $textbf{Fun}(mcal C, mcal D)$ of $ * $-$ 2 $-functors, $ * $-$ 2 $-transformations and $ * $-$ 2 $-modifications is Q-system complete, whenever $mcal D$ is Q-system complete. We use this result to provide a characterisation of Q-system complete categories in terms of $ * $-$ 2 $-functors and to prove that the $ 2 $-category of actions of a unitary fusion category $mcal C$ on C*-algebras is Q-system complete.","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64264824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-04-21DOI: 10.1142/s0129167x23500283
Evelia R. García Barroso, M. Hernandes, M. F. H. Iglesias
In this paper, we introduce a distinguished expression for a given 1-form with respect to a polynomial [Formula: see text], called Weierstrass form. We will use this form and the properties of plane analytical curves to give new characterizations of nondicritical generalized curve foliations.
{"title":"Weierstrass 1-forms and nondicritical generalized curve foliations","authors":"Evelia R. García Barroso, M. Hernandes, M. F. H. Iglesias","doi":"10.1142/s0129167x23500283","DOIUrl":"https://doi.org/10.1142/s0129167x23500283","url":null,"abstract":"In this paper, we introduce a distinguished expression for a given 1-form with respect to a polynomial [Formula: see text], called Weierstrass form. We will use this form and the properties of plane analytical curves to give new characterizations of nondicritical generalized curve foliations.","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46062504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-31DOI: 10.1142/s0129167x23500374
Y. Suh
{"title":"Ricci-bourguignon solitons on real hypersurfaces in the complex hyperbolic space","authors":"Y. Suh","doi":"10.1142/s0129167x23500374","DOIUrl":"https://doi.org/10.1142/s0129167x23500374","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43325142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-16DOI: 10.1142/s0129167x23500337
H. Tadano
{"title":"Myers-Type Theorems via m-Bakry-Emery Ricci Curvatures of Quartic Decays","authors":"H. Tadano","doi":"10.1142/s0129167x23500337","DOIUrl":"https://doi.org/10.1142/s0129167x23500337","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48823600","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-06DOI: 10.1142/s0129167x23500313
Najoua El Ghani, Hassen Mejri
{"title":"The hydrodynamic limit for the inhomogeneous Vlasov-Navier-Stokes System","authors":"Najoua El Ghani, Hassen Mejri","doi":"10.1142/s0129167x23500313","DOIUrl":"https://doi.org/10.1142/s0129167x23500313","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42092016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-03-01DOI: 10.1142/S0129167X23500477
Jie He, Kai Zheng
Let $(M,omega)$ be a compact symplectic manifold. We denote by $ac$ the space of all almost complex structure compatible with $omega$. $ac$ has a natural foliation structure with the complexified orbit as leaf. We obtain an explicit formula of the Hessian of Hermitian Calabi functional at an extremal almost K"ahler metric in $ac$. We prove that the Hessian of Hermitian Calabi functional is semi-positive definite at critical point when restricted to a complexified orbit, as corollaries we obtain some results analogy to K"ahler case. We also show weak parabolicity of the Hermitian Calabi flow.
{"title":"Hermitian Calabi Functional in Complexified Orbits","authors":"Jie He, Kai Zheng","doi":"10.1142/S0129167X23500477","DOIUrl":"https://doi.org/10.1142/S0129167X23500477","url":null,"abstract":"Let $(M,omega)$ be a compact symplectic manifold. We denote by $ac$ the space of all almost complex structure compatible with $omega$. $ac$ has a natural foliation structure with the complexified orbit as leaf. We obtain an explicit formula of the Hessian of Hermitian Calabi functional at an extremal almost K\"ahler metric in $ac$. We prove that the Hessian of Hermitian Calabi functional is semi-positive definite at critical point when restricted to a complexified orbit, as corollaries we obtain some results analogy to K\"ahler case. We also show weak parabolicity of the Hermitian Calabi flow.","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46951203","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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