NOTES ON THE RESCALED SASAKI TYPE METRIC ON THE COTANGENT BUNDLE

doi:10.1016/S0252-9602(13)60133-2

Abstract

Abstract:

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.

Key words: almost paracomplex structure, cotangent bundle, Golden structure, para-holomorphic tensor field, Riemannian curvature tensor, scalar curvature

CLC Number:

53C07

Aydin GEZER, Murat ALTUNBAS. NOTES ON THE RESCALED SASAKI TYPE METRIC ON THE COTANGENT BUNDLE[J].Acta mathematica scientia,Series B, 2014, 34(1): 162-174.

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