GEOMETRY OF TWISTED SASAKI METRIC

被引：4
作者：
Belarbi, Lakehal [1 ]
Elhendi, Hichem [2 ]
机构：
[1] Univ Mostaganem UMAB, Dept Math, Lab Pure & Appl Math, BP 227, Mostaganem 27000, Algeria
[2] Univ Bechar, Dept Math, POB 417, Bechar 08000, Algeria
来源：
JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2019年 / 53卷
关键词：
Einstein structure; natural metrics; twisted Sasaki metric; TANGENT BUNDLE;
D O I：
10.7546/jgsp-53-2019-1-19
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, we introduce a new class of natural metrics denoted by G(f,h) and called twisted Sasaki matric on the tangent bundle TM. We studied the geometry of (TM, G(f,h)) by giving a relationships of the curvatures, Einstein structure, scalar and sectional curvatures between (TM, G(f,h)) and (M, g).
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页码：1 / 19
页数：19
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