Inequalities for submanifolds of Sasaki-like statistical manifolds

被引：8

作者：

Aytimur, Hulya ^{[1
]}

Ozgur, Cihan ^{[1
]}

机构：

[1] Balikesir Univ, Fac Arts & Sci, Dept Math, Balikesir, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 06期

关键词：

Sasaki-like statistical manifold; Chen-Ricci inequality; Ricci curvature; scalar curvature; CHEN INEQUALITIES; SHAPE OPERATOR; SPACE-FORMS; CURVATURE;

D O I：

10.3906/mat-1806-19

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider statistical submanifolds in Sasaki-like statistical manifolds. We give some examples of invariant and antiinvariant submanifolds of Sasaki-like statistical manifolds. We prove Chen-like inequality involving scalar curvature and Chen-Ricci inequality for these kinds of submanifolds.

引用

页码：3149 / 3163

页数：15

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