Metrics and connections on the bundle of affinor frames

DOI10.1007/s11401-021-0248-7zbMath1466.53030OpenAlexW3126987508MaRDI QIDQ829468

Habil Fattayev, Arif A. Salimov

Publication date: 6 May 2021

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-021-0248-7

zbMATH Keywords

Riemannian manifoldSasaki metrichorizontal liftgeodesic curvebundle of affinor frames

Mathematics Subject Classification ID

Connections (general theory) (53C05) Local Riemannian geometry (53B20)

Cites Work

• Some properties of Sasakian metrics in cotangent bundles
• On the geometry of the \((1,1)\)-tensor bundle with Sasaki type metric
• On the differential geometry of tangent bundles of Riemannian manifolds
• Riemannian metrics on tangent bundles
• Lifting of Riemannian metrics to tensor bundles
• Geodesics of Sasakian metrics on tensor bundles
• Horizontal lifts from a manifold to its cotangent bundle
• Metrics and connections on the cotangent bundle
• On the differential geometry of frame bundles of Riemannian manifolds.
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
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