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.
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