数学物理学报(英文版)

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GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD

谢纳庆; 许洪伟   

  1. 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   

  1. 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:

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:

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.

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

中图分类号: 

  • 53C40