GEOMETRY OF TWISTED SASAKI METRIC

被引：5

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).

引用

页码：1 / 19

页数：19

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