仿凯勒空间形式型统计流形中全实类空子流形的卡索拉蒂曲率不等式
Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms.
作者信息
Chen Bang-Yen, Decu Simona, Vîlcu Gabriel-Eduard
机构信息
Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA.
Department of Applied Mathematics, Bucharest University of Economic Studies, 6 Piaţa Romană, 010374 Bucharest, Romania.
出版信息
Entropy (Basel). 2021 Oct 25;23(11):1399. doi: 10.3390/e23111399.
The purpose of this article is to establish some inequalities concerning the normalized δ-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of totally real spacelike submanifolds in statistical manifolds of the type para-Kähler space form. Moreover, this study is focused on the equality cases in these inequalities. Some examples are also provided.
本文的目的是建立一些关于仿凯勒空间形式类型的统计流形中全实类空子流形的归一化δ-卡索拉蒂曲率（外在不变量）和标量曲率（内在不变量）的不等式。此外，本研究关注这些不等式的等式情形。还提供了一些例子。
Zotero 插件