Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 2
Notes on the second-order tangent bundles with the deformed Sasaki metric
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 502–517
- DOI
- —
Abstract
The paper deals with the second-order tangent bundle T2MT2M with the deformed Sasaki metric ¯gg¯ over an n−dimensional Riemannian manifold gover an n−dimensional Riemannian manifold (M,g)(M,g). We calculate all Riemannian curvature tensor fields of the deformed Sasaki metric ¯gg¯ and search Einstein property of and search Einstein property of T2MT2M. Also the weakly symmetry properties of the deformed Sasaki metric are presented.