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

doi:10.1016/S0252-9602(14)60042-4

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

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

傅小勇, 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

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

[1]	Nicoleta ALDEA, Gheorghe MUNTEANU. THE MAIN INVARIANTS OF A COMPLEX FINSLER SPACE[J]. 数学物理学报(英文版), 2014, 34(4): 995-1011.
[2]	王雨生. FUNDAMENTAL GROUPS OF CLOSED POSITIVELY CURVED MANIFOLDS WITH ALMOST DISCRETE ABELIAN GROUP ACTIONS[J]. 数学物理学报(英文版), 2010, 30(1): 203-207.
[3]	Elif Özkara Canfes. ISOTROPIC WEYL MANIFOLD WITH A SEMI-SYMMETRIC CONNECTION[J]. 数学物理学报(英文版), 2009, 29(1): 176-180.
[4]	焦振华; 傅小勇. VOLUME GROWTH ESTIMATES OF MANIFOLDS WITH NONNEGATIVE CURVATURE OUTSIDE A COMPACT SET[J]. 数学物理学报(英文版), 2008, 28(1): 86-095.
[5]	陈志华, 周朝晖. A VANISHING THEOREM ON L2 HARMONIC FORMS[J]. 数学物理学报(英文版), 2002, 22(3): 379-387.
[6]	程新跃, 杨文茂. ON THE INFINITESIMAL ISOMETRIC DEFORMATIONS OF SUBMANIFOLDS[J]. 数学物理学报(英文版), 1997, 17(4): 392-404.
[7]	陈广华, 徐森林. RIGIDITY OF COMPACT MINIMAL SUBMANIFOLDS IN A LOCALLY SYMMETRIC AND CONFORMALLY FLAT RIEMANN MANIFOLD[J]. 数学物理学报(英文版), 1996, 16(1): 89-96.

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

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

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 7

Metrics

本文评价

推荐阅读 10