Geometry of the cotangent bundle with Sasakian metrics and its applications

DOI10.1007/s12044-014-0191-6zbMath1311.53030OpenAlexW2136307239MaRDI QIDQ2253700

F. Ocak, Arif A. Salimov

Publication date: 12 February 2015

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-014-0191-6

zbMATH Keywords

cotangent bundleKilling vector fieldalmost complex structureSasakian metricvertical and horizontal lift

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (4)

Para-Complex Norden Structures in Cotangent Bundle Equipped with Vertical Rescaled Cheeger–Gromoll Metric ⋮ On the Riemannian geometry of tangent Lie groups ⋮ Unnamed Item ⋮ Derivatives of Sasakian metric ^{S}g on Cotangent Bundle

Cites Work

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• Some properties of Sasakian metrics in cotangent bundles
• On the differential geometry of tangent bundles of Riemannian manifolds
• Paraholomorphic B-manifold and its properties
• Riemannian metrics on tangent bundles
• Diagonal lift in the tensor bundle and its applications.
• On the geometry of tangent bundles
• Lifting of Riemannian metrics to tensor bundles
• Geodesics of Sasakian metrics on tensor bundles
• On para-Nordenian structures
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.

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