数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 713-718.doi: 10.1016/S0252-9602(14)60042-4

• 论文 • 上一篇    下一篇

ON A KÄHLER VERSION OF CHEEGER-GROMOLL-PERELMAN´S SOUL THEOREM

傅小勇, 葛剑   

  1. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China; Department of Mathematics, University of Notre Dame, 46556, US
  • 收稿日期:2013-12-28 出版日期:2014-05-20 发布日期:2014-05-20
  • 基金资助:

    The first author is supported by NSFC(11171356).

ON A KÄHLER VERSION OF CHEEGER-GROMOLL-PERELMAN´S SOUL THEOREM

 FU Xiao-Yong, GE Jian   

  1. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China; Department of Mathematics, University of Notre Dame, 46556, US
  • Received:2013-12-28 Online:2014-05-20 Published:2014-05-20
  • Supported by:

    The first author is supported by NSFC(11171356).

摘要:

In this note, we will prove a K¨ahler version of Cheeger-Gromoll-Perelman´s soul theorem, only assuming the sectional curvature is nonnegative and bisectional curvature is positive at one point.

关键词: K¨ahler manifold, soul theorem, sectional curvature, bisectional curvature

Abstract:

In this note, we will prove a K¨ahler version of Cheeger-Gromoll-Perelman´s soul theorem, only assuming the sectional curvature is nonnegative and bisectional curvature is positive at one point.

Key words: K¨ahler manifold, soul theorem, sectional curvature, bisectional curvature

中图分类号: 

  • 53C21