Bochner-Kahler and Bach flat manifolds

被引：1
|
作者：
Ghosh, Amalendu [1 ]
Sharma, Ramesh [2 ]
机构：
[1] Chandernagore Coll, Dept Math, Chandannagar 712136, W Bengal, India
[2] Univ New Haven, Dept Math, West Haven, CT 06516 USA
来源：
ARCHIV DER MATHEMATIK | 2019年 / 113卷 / 05期
关键词：
Bochner-Kahler manifold; Cotton tensor; Bach flat; Holomorphic sectional curvature; Infinitesimal harmonic transformation; PARALLEL; SPACES;
D O I：
10.1007/s00013-019-01356-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We have classified Bochner-Kahler manifolds of real dimension which are also Bach flat. In the 4-dimensional case, we have shown that if the scalar curvature is harmonic, then it is constant. Finally, we show that the gradient of scalar curvature of any Bochner-Kahler manifold is an infinitesimal harmonic transformation, and if it is conformal, then the scalar curvature is constant.
引用
收藏
页码：551 / 560
页数：10
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