(m, ρ)-Quasi-Einstein Metrics in the Frame-Work of K -Contact Manifolds

被引：17
|
作者：
Ghosh, Amalendu [2 ,1 ]
机构：
[1] Chandernagore Coll, Dept Math, Chandannagar 712136, WB, India
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2014年 / 17卷 / 3-4期
关键词：
Contact metric manifold; K -contact manifold; Generalized quasi-Einstein metric; (m; rho)-quasi-Einstein metric; EINSTEIN MANIFOLDS; RICCI;
D O I：
10.1007/s11040-014-9161-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this note is to prove that if a complete K -contact manifold M of dimension (2n + 1) admits a (m, rho)-quasi-Einstein metric with m not equal 1, then we prove that f is constant and M becomes compact, Einstein and Sasakian.
引用
收藏
页码：369 / 376
页数：8
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