Articles

GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD

  • Xie Naqing ,
  • Xu Hongwei
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  • Institute of Mathematics, Fudan University, Shanghai 200433, China

Received date: 2004-12-23

  Revised date: 2005-12-14

  Online published: 2007-07-20

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(07)60060-5

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