NOTES ON THE RESCALED SASAKI TYPE METRIC ON THE COTANGENT BUNDLE |
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| Authors: | Aydin GEZER Murat ALTUNBAS |
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| Institution: | [1]Department of Mathematics, Faculty of Science, Ataturk University, 25240, Erzurum-Turkey [2]Department of Mathematics, Faculty of Science and Art, Erzincan University, 24030, Erzinean-Turkey |
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| Abstract: | 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. |
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| Keywords: | almost paracomplex structure cotangent bundle Golden structure paraholomorphic tensor field Riemannian curvature tensor scalar curvature |
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