Ricci solitons and odd-dimensional spheres

被引：3
作者：
Cho, Jong Taek [1 ]
机构：
[1] Chonnam Natl Univ, Dept Math, CNU Inst Basic Sci, Kwangju 500757, South Korea
来源：
MONATSHEFTE FUR MATHEMATIK | 2010年 / 160卷 / 04期
关键词：
Spheres; Shape operators; Reeb vector fields; Ricci solitons;
D O I：
10.1007/s00605-009-0095-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
As a real hypersurface in a complex space, we prove two criterion inequalities for an odd-dimensional sphere in terms of the shape operator, the Reeb vector field and its associated 1-form. Also, we determine a real hypersurface in a complex space which admits a Ricci soliton with the Reeb vector field the potential vector field.
引用
收藏
页码：347 / 357
页数：11
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