Ricci curvature of slant submanifolds in (k, μ)-contact space forms

被引：0

作者：

Shukla, S. S. ^{[1
]}

Tiwari, Sanjay Kumar ^{[1
]}

机构：

[1] Univ Allahabad, Dept Math, Allahabad 211002, Uttar Pradesh, India

来源：

KUWAIT JOURNAL OF SCIENCE & ENGINEERING | 2010年 / 37卷 / 1A期

关键词：

Mean curvature; sectional curvature; scalar curvature; s-Ricci curvature; slant submanifold; semi-slant submanifold; bi-slant submanifold; (k; mu)-contact space form; MANIFOLDS;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

B.Y. Chen (1999) established a clear relationship involving intrinsic invariants, namely the sectional curvature and the scalar curvature and the main extrinsic invariants, namely the squared mean curvature for a submanifold in real space form with arbitrary co-dimension. In this article, we establish inequalities between the Ricci curvature and the squared mean curvature, and also between the s-Ricci curvature and the scalar curvature for a slant, semi-slant and bi-slant submanifolds in (k,mu)-contact space forms.

引用

页码：31 / 49

页数：19

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