GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD

doi:10.1016/S0252-9602(07)60060-5

数学物理学报(英文版)

GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD

谢纳庆; 许洪伟

复旦大学数学所, 上海 200433

收稿日期:2004-12-23 修回日期:2005-12-14 出版日期:2007-07-20 发布日期:2007-07-20
通讯作者: 谢纳庆
基金资助:
Supported by the NNSF of China (10231010); the Trans-Century Training Programme Foundation for Talents by the Ministry of Education of China; and the Natural Science Foundation of Zhejiang Province (101037); and Fudan Postgraduate Students Innovation Project (CQH5928002)

GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD

Xie Naqing; Xu Hongwei

Institute of Mathematics, Fudan University, Shanghai 200433, China

Received:2004-12-23 Revised:2005-12-14 Online:2007-07-20 Published:2007-07-20
Contact: Xie Naqing

摘要/Abstract

摘要：

This article gives some geometric inequalities for a submanifold with parallel second fundamental form in a pinched Riemannian manifold and the distribution for the square norm of its second fundamental form.

关键词: Submanifolds, second fundamental form, pinched Riemannian manifold

Abstract:

Key words: Submanifolds, second fundamental form, pinched Riemannian manifold

中图分类号:

53C40

谢纳庆; 许洪伟. GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD[J]. 数学物理学报(英文版), 2007, 27(3): 611-618.

Xie Naqing; Xu Hongwei. GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD[J]. Acta mathematica scientia,Series B, 2007, 27(3): 611-618.

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GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD

GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD

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