Second Order Parallel Tensor in Trans-Sasakian Manifolds and Connection with Ricci Soliton

被引：3
|
作者：
Debnath, Srabani [1 ]
Bhattacharyya, Arindam [1 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, India
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2012年 / 33卷 / 04期
关键词：
Trans-sasakianmanifolds; parallel second order covariant tensor field; irreducible metric; Einstein space; Ricci soliton;
D O I：
10.1134/S1995080212040075
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we have solved the Eisenhart problem for the symmetric case in the trans-Sasakian manifold of type (alpha, beta) with non-vanishing xi-sectional curvature and studied some of its consequences. Then we apply our result to obtain a Ricci soliton and studied its behavior for a particular case. Finally we studied the possible consequence for an affine Killing vector field.
引用
收藏
页码：312 / 316
页数：5
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