Chen-Ricci inequality for warped products in Kenmotsu space forms and its applications

被引：11

作者：

Mustafa, Abdulqader ^{[1
]}

Uddin, Siraj ^{[2
]}

Al-Solamy, Falleh R. ^{[2
]}

机构：

[1] Palestine Tech Univ, Fac Arts & Sci, Dept Math, Kadoorei, Tulkarm, Palestine

[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 04期

关键词：

Sectional curvature; Mean curvature; k-Ricci curvature; Dirichlet energy; Isometric immersion; D-minimal immersion; Warped product; Semi-slant submanifold; Kenmotsu space form; SEMI-SLANT SUBMANIFOLDS; CR-SUBMANIFOLDS; KAEHLER MANIFOLDS; IMMERSIONS; GEOMETRY;

D O I：

10.1007/s13398-019-00718-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, B.-Y. Chen estabished a general relationship between Ricci curvature and themean curvature vector of a submanifold in Riemannian manifolds. Later, the same inequality was derived for other structures, but not for warped products. In this paper, we derive Chen-Ricci inequality for warped product semi-slant submanifolds in Kenmotsu space forms. Many applications are given.

引用

页码：3585 / 3602

页数：18

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