Notes on the second-order tangent bundles with the deformed Sasaki metric
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.71, 2022 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 71
- Basım Tarihi: 2022
- Doi Numarası: 10.31801/cfsuasmas.987379
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Anahtar Kelimeler: Second-order tangent bundle, deformed Sasaki metric, weakly symmetric, curvature tensor field, lifts, SYMMETRY
- Atatürk Üniversitesi Adresli: Evet
Özet
The paper deals with the second-order tangent bundle (TM)-M-2 with the deformed Sasaki metric (g) over bar over an n-dimensional Riemannian manifold (M, g). We calculate all Riemannian curvature tensor fields of the deformed Sasaki metric (g) over bar and search Einstein property of (TM)-M-2. Also the weakly symmetry properties of the deformed Sasaki metric are presented.