Scalar curvature of QR-submanifolds with maximal QR-dimension in a quaternionic projective space

被引：0
|
作者：
Hyang Sook Kim
Jin Suk Pak
机构：
[1] Inje University,Department of Computational Mathematics, School of Computer Aided Science, Institute of Basic Science
[2] Daegu University,Department of Education
来源：
Indian Journal of Pure and Applied Mathematics | 2011年 / 42卷
关键词：
quaternionic projective space; scalar curvature; -submanifold; maximal ; -dimension; quaternionic invariant distribution; minimal;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we derive an integral formula on an n-dimensional, compact, minimal QR-submanifoldM of (p−1) QR-dimension immersed in a quaternionic projective space QP(n+p)/4. Using this integral formula, we give a sufficient condition concerning with the scalar curvature of M in order that such a submanifold M is to be a tube over a quaternionic projective space.
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页码：109 / 126
页数：17
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