DIFFEOMORPHIC THEOREMS FOR OPEN RIEMANNIAN MANIFOLDS WITH RADIAL CURVATURE BOUNDED BELOW

XIE Zhiqi; LI Guanghan; WU Chuanxi

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DIFFEOMORPHIC THEOREMS FOR OPEN RIEMANNIAN MANIFOLDS WITH RADIAL CURVATURE BOUNDED BELOW

XIE Zhiqi 1,LI Guanghan 2 * #,WU Chuanxi 2

1.School of Mathematical Science, Capital Normal University, Beijing 100048

2.School of Mathematics and Statistics, Hubei University, Wuhan 430062

*Correspondence author

#Submitted by

Subject:

Funding: NSFC （No.No.11171096）, RFDP （No.No.20104208110002）

Opened online:21 January 2014

Accepted by: none

Citation: XIE Zhiqi,LI Guanghan,WU Chuanxi.DIFFEOMORPHIC THEOREMS FOR OPEN RIEMANNIAN MANIFOLDS WITH RADIAL CURVATURE BOUNDED BELOW[OL]. [21 January 2014] http://en.paper.edu.cn/en_releasepaper/content/4581995

In this paper, we study complete non-compact Riemannian manifolds with radial curvature bounded from below by that of a non-compact model surface of revolution. We find a reasonable condition to ensure that this kind of manifolds is diffeomorphic to a Euclidean space if it contains enough rays starting from a base point.

Keywords:Global differential geometry; Diffeomorphic theorem; Radial curvature; Model surface

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