The cosymplectic statistical structures of constant 0-sectional curvature on cosymplectic space forms

被引：2

作者：

Yan, Mingming ^{[1
]}

Wu, Xinlei ^{[1
]}

Zhang, Liang ^{[1
]}

机构：

[1] Anhui Normal Univ, Sch Math & Stat, Wuhu 241000, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2024年 / 196卷

关键词：

Cosymplectic space form; Cosymplectic statistical structure; 0-sectional curvature; MANIFOLDS;

D O I：

10.1016/j.geomphys.2023.105076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the cosymplectic statistical structures of constant 0-sectional curvature based on cosymplectic space forms. For higher than 3-dimensional cosymplectic space forms, we prove that the cosymplectic statistical structure of constant 0-sectional curvature on which must be unique and we determine it completely. For 3-dimensional cosymplectic space forms, we give an example to show that the cosymplectic statistical structures of constant 0-curvature are not unique, and we also obtain a rigidity theorem in this case. (c) 2023 Elsevier B.V. All rights reserved.

引用

页数：13

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