Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kahler Space Forms

被引：10

作者：

Chen, Bang-Yen ^{[1
]}

Decu, Simona ^{[2
,3
]}

Vilcu, Gabriel-Eduard ^{[4
,5
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[2] Bucharest Univ Econ Studies, Dept Appl Math, 6 Piata Romana, Bucharest 010374, Romania

[3] Romanian Acad, Costin C Kiritescu Natl Inst Econ Res, Ctr Mt Econ CE MONT, 13 Calea 13 Septembrie, Bucharest 030508, Romania

[4] Univ Bucharest, Res Ctr Geometry Topol & Algebra, Fac Math & Comp Sci, Str Acad 14,Sect 1, Bucharest 70109, Romania

[5] Petr Gas Univ Ploiesti, Dept Cybernet Econ Informat Finance & Accountancy, Bd Bucuresti 39, Ploiesti 100680, Romania

来源：

ENTROPY | 2021年 / 23卷 / 11期

关键词：

Casorati curvature; statistical manifold of type para-Kahler space form; totally real submanifold; H-UMBILICAL SUBMANIFOLDS; LAGRANGIAN SUBMANIFOLDS; CLASSIFICATION; GEOMETRY;

D O I：

10.3390/e23111399

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The purpose of this article is to establish some inequalities concerning the normalized delta-Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of totally real spacelike submanifolds in statistical manifolds of the type para-Kahler space form. Moreover, this study is focused on the equality cases in these inequalities. Some examples are also provided.

引用

页数：13

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