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| A Rigidity Phenomenon on Riemannian Manifolds with Reverse Excess Pinching |
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Citation： |
Peihe WANG,Chunli SHEN.A Rigidity Phenomenon on Riemannian Manifolds with Reverse Excess Pinching[J].Chinese Annals of Mathematics B,2009,(1):67~76 |
| Page view： 2810
Net amount： 2424 |
Authors： |
Peihe WANG; Chunli SHEN; |
Foundation： |
the National Natural Science Foundation of China (No. 10671066), the Scientific
Research Foundation of Qufu Normal University and the Shanghai and Shandong Priority Academic
Discipline. |
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| Abstract： |
The authors introduce the Hausdorff convergence to discuss the differentiable
sphere theorem with excess pinching. Finally, a type of rigidity phenomenon on Rieman-
nian manifolds is derived. |
Keywords： |
Volume comparison theorem, Hausdorff convergence, Differentiable
sphere theorem, Harmonic coordinate, Harmonic radius |
Classification： |
53C20, 53C23, 53C24 |
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