Articles

A DIFFERENTIABLE SPHERE THEOREM WITH PINCHING INTEGRAL RICCI CURVATURE

  • WANG Pei-He ,
  • CHEN Chun-Li
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  • School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China;Department of Mathematics, East China Normal University, Shanghai 200062, China

Received date: 2009-08-31

  Online published: 2011-01-20

Supported by

Supported by the NNSF of China (10671066) and the NSF of Shandong Province (Q2008A08), and Scientific Research Foundation of QFNU

Abstract

In this article, we introduce the Hausdorff convergence to derive a differen-tiable sphere theorem which shows an interesting rigidity phenomenon on some kind of manifolds.

Cite this article

WANG Pei-He , CHEN Chun-Li . A DIFFERENTIABLE SPHERE THEOREM WITH PINCHING INTEGRAL RICCI CURVATURE[J]. Acta mathematica scientia, Series B, 2011 , 31(1) : 321 -330 . DOI: 10.1016/S0252-9602(11)60232-4

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