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

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Atıf İçin Kopyala

KARACA K., GEZER A., MAĞDEN A.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.71, 2022 (ESCI)

• 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.