Notes on the second-order tangent bundles with the deformed Sasaki metric

Authors : Kübra KARACA, Aydın GEZER, Abdullah MAĞDEN

Pages : 502-517

Doi:10.31801/cfsuasmas.987379

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Publication Date : 2022-06-30

Article Type : Research Paper

Abstract :The paper deals with the second-order tangent bundle  T 2 M T2M with the deformed Sasaki metric ¯ g g¯ over an n −dimensional Riemannian manifold  g over an n −dimensional Riemannian manifold  insert ignore into journalissuearticles values( M , g ); insert ignore into journalissuearticles values(M,g); . We calculate all Riemannian curvature tensor fields of the deformed Sasaki metric ¯ g g¯ and search Einstein property of  and search Einstein property of  T 2 M T2M . Also the weakly symmetry properties of the deformed Sasaki metric are presented.
Keywords : Second order tangent bundle, deformed Sasaki metric, weakly symmetric, curvature tensor field, lifts