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
收藏
页码：3149 / 3163
页数：15
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