Ricci tensor of slant submanifolds in a quaternion projective space

被引：9

作者：

Shahid, Mohammad Hasan ^{[1
]}

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

机构：

[1] Jamia Millia Islamia, Fac Nat Sci, Dept Math, New Delhi 110025, India

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

来源：

COMPTES RENDUS MATHEMATIQUE | 2011年 / 349卷 / 9-10期

关键词：

D O I：

10.1016/j.crma.2011.01.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study slant submanifolds of quaternion Kaehler manifold and in particular of a quaternion projective space. We obtain a sharp estimate of the Ricci tensor of a slant submanifold M in a quaternion projective space QP(m)(4c) in terms of the main extrinsic invariant, namely the square mean curvature. (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：571 / 573

页数：3

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