NOTES ON THE RESCALED SASAKI TYPE METRIC ON THE COTANGENT BUNDLE

被引：0

作者：

Aydin GEZER ^{[1
]}

Murat ALTUNBAS ^{[2
]}

机构：

[1] Department of Mathematics, Faculty of Science, Ataturk University

[2] Department of Mathematics, Faculty of Science and Art, Erzincan University

来源：

Acta Mathematica Scientia | 2014年 / 34卷 / 01期

关键词：

almost paracomplex structure; cotangent bundle; Golden structure; para-holomorphic tensor field; Riemannian curvature tensor; scalar curvature;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

Let(M, g) be an n-dimensional Riemannian manifold and T*M be its cotangent bundle equipped with the rescaled Sasaki type metric. In this paper, we firstly study the paraholomorphy property of the rescaled Sasaki type metric by using some compatible paracomplex structures on T*M. Second, we construct locally decomposable Golden Riemannian structures on T*M. Finally we investigate curvature properties of T*M.

引用

页码：162 / 174

页数：13

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