Pseudo-Einstein real hypersurfaces in complex hyperbolic two-plane Grassmannians

被引：6
|
作者：
Suh, Young Jin [1 ,2 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
[2] Res Inst Real & Complex Manifolds, Taegu 702701, South Korea
来源：
ADVANCES IN APPLIED MATHEMATICS | 2016年 / 76卷
基金：
新加坡国家研究基金会;
关键词：
Real hypersurfaces; Complex hyperbolic two-plane Grassmannians; Pseudo-Einstein hypersurface; Q(perpendicular to)-invariant hypersurface; SPACE;
D O I：
10.1016/j.aam.2016.02.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we first introduce the full expression of the curvature tensor of a real hypersurface M in complex hyperbolic two-plane Grassmannians SU2,m/S(U-2.U-m), m >= 2 from the equations of Gauss. Next we derive a new formula for the Ricci tensor of M in SU2,m/S(U-2.U-m). As an application of this result we prove that there do not exist Einstein Hopf or Q-L-invariant Einstein real hypersurfaces in SU2,m/S(U-2.U-m). (C) 2016 Elsevier Inc. All rights reserved.
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页码：39 / 67
页数：29
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