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

数学物理学报 ›› 2014, Vol. 34 ›› Issue (3): 713-718.

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

傅小用|葛剑

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

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/Abstract

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

傅小用, 葛剑. ON A KÄHLER VERSION OF CHEEGER-GROMOLL-PERELMAN´S SOUL THEOREM[J]. 数学物理学报, 2014, 34(3): 713-718.

FU Xiao-Yong, GE Jian. ON A KÄHLER VERSION OF CHEEGER-GROMOLL-PERELMAN´S SOUL THEOREM[J]. Acta mathematica scientia,Series A, 2014, 34(3): 713-718.

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

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

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