Acta mathematica scientia, Series B >
ON A KÄHLER VERSION OF CHEEGER-GROMOLL-PERELMAN´S SOUL THEOREM
Received date: 2013-12-28
Online published: 2014-05-20
Supported by
The first author is supported by NSFC(11171356).
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
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 . DOI: 10.1016/S0252-9602(14)60042-4
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