Notes on the second-order tangent bundles with the deformed Sasaki metric
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.
Keywords:
Second-order tangent bundle, deformed Sasaki metric weakly symmetric, curvature tensor field, lifts,
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- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi