Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (4): 992-998.

• Articles • Previous Articles     Next Articles

Diffeomorphic Theorems for Open Riemannian Manifolds with Radial Curvature Bounded Below

 XIE Zhi-Qi1, WU Chuan-Xi2, LI Guang-Han2*   

  1. 1.School of Mathematical Science, Capital Normal University, Beijing 100048;
    2.School of Mathematics and Statistics, Hubei University, Wuhan 430062
  • Received:2013-01-08 Revised:2013-12-20 Online:2014-08-25 Published:2014-08-25
  • Contact: LI Guang-Han,liguanghan@163.com E-mail:zhiqi219@126.com; cxwu@hubu.edu.cn; liguanghan@163.com
  • Supported by:

    国家自然科学基金(11171096)、教育部博士点基金(20104208110002)和武汉市学科带头人计划项目(Z201051730002)资助.

Abstract:

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 are diffeomorphic to a Euclidean space if it contains enough rays starting from the base point.

Key words: Diffeomorphic theorem, Radial curvature, Model surface

CLC Number: 

  • 53C20
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