- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 71 Issue: 2
- Notes on the second-order tangent bundles with the deformed Sasaki metric
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
View : 13 | Download : 4
Publication Date : 2022-06-30
Article Type : Research
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 ( M , g ) (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