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Biconformal equivalence between 3-dimensional Ricci solitons 三维Ricci孤子间的双共形等价
IF 0.5 4区 数学 Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.2748/tmj.20200428
P. Baird, Elsa Ghandour
Biconformal deformations in the presence of a conformal foliation by curves are exploited to study equivalence between 3-dimensional Ricci solitons. We show that a wide class of solitons are biconformally equivalent to the flat metric.
利用保形叶理存在下的双保形变形来研究三维Ricci孤子之间的等价性。我们证明了一类广泛的孤子与平面度规是双非形等价的。
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引用次数: 1
Non-integrated defect relation for meromorphic maps from Kähler manifolds with hypersurfaces of a projective variety in subgeneral position 亚一般位置上具有射影变化的超曲面的Kähler流形亚纯映射的非积分缺陷关系
IF 0.5 4区 数学 Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.2748/tmj.20200219
S. Quang, Lê Ngọc Quỳnh, N. Nhung
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引用次数: 0
Finite multiple zeta values, symmetric multiple zeta values and unified multiple zeta functions 有限多重ζ值、对称多重ζ和统一多重ζ函数
IF 0.5 4区 数学 Q4 MATHEMATICS Pub Date : 2021-06-01 DOI: 10.2748/tmj.20200226
Y. Komori
We introduce entire multiple zeta functions, which are natural interpolations of symmetric multiple zeta values. Moreover we give further generalizations which interpolate these zeta functions, $widehat{mathcal{A}}$-finite multiple zeta values and $widehat{mathcal{S}}$-symmetric multiple zeta values. We also show that the correspondence which Kaneko--Zagier conjecture suggests holds on nonpositive integers for finite multiple zeta values and special values of these multiple zeta functions.
我们引入了完整的多重zeta函数,它是对称多重zeta值的自然插值。此外,我们进一步推广了这些zeta函数,$widehat{mathcal{A}}$-有限多个zeta值和$widehat{mathcal{S}}$-对称多个zeta值。我们还证明了Kaneko—Zagier猜想所提出的对应关系在有限多个zeta值和这些多个zeta函数的特殊值的非正整数上成立。
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引用次数: 8
Singularities of parallels to tangent developable surfaces 切线可展曲面平行线的奇异性
IF 0.5 4区 数学 Q4 MATHEMATICS Pub Date : 2021-05-16 DOI: 10.2748/tmj.20211220
G. Ishikawa
It is known that the class of developable surfaces which have zero Gaussian curvature in three dimensional Euclidean space is preserved by the parallel transformations. A tangent developable surface is defined as a ruled developable surface by tangent lines to a space curve and it has singularities at least along the space curve, called the directrix or the the edge of regression. Also the class of tangent developable surfaces are invariant under the parallel deformations. In this paper the notions of tangent developable surfaces and their parallels are naturally generalized for frontal curves in general in Euclidean spaces of arbitrary dimensions. We study singularities appearing on parallels to tangent developable surfaces of frontal curves and give the classification of generic singularities on them for frontal curves in 3 or 4 dimensional Euclidean spaces.
已知在三维欧氏空间中具有零高斯曲率的一类可展曲面是通过平行变换保持的。切线可展曲面是由空间曲线的切线定义的规则可展曲面,它至少沿着空间曲线具有奇点,称为准线或回归边。此外,一类切线可展曲面在平行变形下是不变的。本文对于任意维欧氏空间中的一般正曲线,自然地推广了切可展曲面及其平行曲面的概念。我们研究了在3维或4维欧氏空间中出现在额曲线的切可展面平行线上的奇点,并给出了额曲线在其上的一般奇点的分类。
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引用次数: 0
Symmetries of cross caps 十字帽的对称性
IF 0.5 4区 数学 Q4 MATHEMATICS Pub Date : 2021-05-05 DOI: 10.2748/tmj.20211203
Atsufumi Honda, K. Naokawa, K. Saji, M. Umehara, Kotaro Yamada
It is well-known that cross caps on surfaces in the Euclidean 3-space can be expressed in Bruce-West's normal form, which is a special local coordinate system centered at the singular point. In this paper, we show a certain kind of uniqueness of such a coordinate system. In particular, the functions associated with this coordinate system produce new invariants on cross cap singular points. Using them, we classify the possible symmetries on cross caps.
众所周知,欧氏3空间中曲面上的十字帽可以用Bruce West的法线形式表示,这是一个以奇异点为中心的特殊局部坐标系。在本文中,我们展示了这样一个坐标系的某种唯一性。特别地,与该坐标系相关联的函数在交叉帽奇异点上产生新的不变量。利用它们,我们对十字帽上可能的对称性进行了分类。
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引用次数: 0
Stokes matrices for Airy equations 艾里方程的斯托克斯矩阵
IF 0.5 4区 数学 Q4 MATHEMATICS Pub Date : 2021-03-30 DOI: 10.2748/tmj.20210506
A. Hohl, Konstantin Jakob
We compute Stokes matrices for generalised Airy equations and prove that they are regular unipotent (up to multiplication with the formal monodromy). This class of differential equations was defined by Katz and includes the classical Airy equation. In addition, it includes differential equations which are not rigid. Our approach is based on the topological computation of Stokes matrices of the enhanced Fourier-Sato transform of a perverse sheaf due to D'Agnolo, Hien, Morando and Sabbah.
我们计算了广义Airy方程的Stokes矩阵,并证明了它们是正则单势的(直到与形式的单调相乘)。这类微分方程由Katz定义,包括经典的Airy方程。此外,它还包括非刚性的微分方程。我们的方法基于由D’Agnolo、Hien、Morando和Sabbah引起的反常sheaf的增强傅立叶-萨托变换的Stokes矩阵的拓扑计算。
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引用次数: 1
Global existence of small solutions for a quadratic nonlinear fourth-order Schrödinger equation in six space dimensions 六空间维二次非线性四阶Schrödinger方程小解的整体存在性
IF 0.5 4区 数学 Q4 MATHEMATICS Pub Date : 2021-03-01 DOI: 10.2748/TMJ.20191217
K. Aoki
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引用次数: 0
The Gauss maps of transversally complex submanifolds of a quaternion projective space 四元数投影空间的横复子流形的高斯映射
IF 0.5 4区 数学 Q4 MATHEMATICS Pub Date : 2021-03-01 DOI: 10.2748/TMJ.20191202
K. Tsukada
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引用次数: 0
Representation of higher-order dispersive operators via short-time Fourier transform and its application 高阶色散算子的短时傅里叶变换表示及其应用
IF 0.5 4区 数学 Q4 MATHEMATICS Pub Date : 2021-03-01 DOI: 10.2748/TMJ.20191226
Keiichi Kato, Masaharu Kobayashi, S. Ito, Tadashi Takahashi
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引用次数: 0
Finsler conformal changes preserving the modified Ricci curvature 芬斯勒共形改变保留了修正的里奇曲率
IF 0.5 4区 数学 Q4 MATHEMATICS Pub Date : 2021-03-01 DOI: 10.2748/TMJ.20191212
Bin Chen, Lili Zhao
{"title":"Finsler conformal changes preserving the modified Ricci\u0000 curvature","authors":"Bin Chen, Lili Zhao","doi":"10.2748/TMJ.20191212","DOIUrl":"https://doi.org/10.2748/TMJ.20191212","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43037757","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}
引用次数: 0
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