NOTES ON THE RESCALED SASAKI TYPE METRIC ON THE COTANGENT BUNDLE

NOTES ON THE RESCALED SASAKI TYPE METRIC ON THE COTANGENT BUNDLE

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摘要 Let （M, g） be an n-dimensional Riemannian manifold and T＊M be its cotan-gent 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 compati-ble paracomplex structures on T＊M. Second, we construct locally decomposable Golden Riemannian structures on T＊M . Finally we investigate curvature properties of T＊M . Let （M, g） be an n-dimensional Riemannian manifold and T＊M be its cotan-gent 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 compati-ble paracomplex structures on T＊M. Second, we construct locally decomposable Golden Riemannian structures on T＊M . Finally we investigate curvature properties of T＊M .

作者 Aydin GEZER Murat ALTUNBAS

机构地区 Department of Mathematics Department of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2014年第1期162-174,共13页 数学物理学报（B辑英文版）

关键词 almost paracomplex structure cotangent bundle Golden structure paraholomorphic tensor field Riemannian curvature tensor scalar curvature almost paracomplex structure cotangent bundle Golden structure paraholomorphic tensor field Riemannian curvature tensor scalar curvature

分类号 O186.12 [理学—基础数学]

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NOTES ON THE RESCALED SASAKI TYPE METRIC ON THE COTANGENT BUNDLE

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