Holomorphically planar conformal vector fields on contact metric manifolds

被引：5
|
作者：
Ghosh, A. [1 ]
机构：
[1] Krishnagar Govt Coll, Dept Math, Krishnanagar 741101, WB, India
来源：
ACTA MATHEMATICA HUNGARICA | 2010年 / 129卷 / 04期
关键词：
HPCV field; contact metric manifold;
D O I：
10.1007/s10474-010-0030-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study holomorphically planar conformal vector fields (HPCV) on contact metric manifolds under some curvature conditions. In particular, we have studied HPCV fields on (i) contact metric manifolds with pointwise constant xi-sectional curvature (under this condition M is either K-contact or V is homothetic), (ii) Einstein contact metric manifolds (in this case M becomes K contact), (iii) contact metric manifolds with parallel Ricci tensor (under this condition M is either K-contact Einstein or is locally isometric to E (n+1)xS (n) (4)).
引用
收藏
页码：357 / 367
页数：11
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