Some properties of Sasakian metrics in cotangent bundles

DOI10.1007/s00009-010-0080-xzbMath1227.53058OpenAlexW2034698716WikidataQ124984426 ScholiaQ124984426MaRDI QIDQ545480

Filiz Agca, Arif A. Salimov

Publication date: 22 June 2011

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0080-x

zbMATH Keywords

cotangent bundleSasakian metricpara-Norden metricvertical and horizontal lift

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (18)

Metrics and connections on the bundle of affinor frames ⋮ Geodesics on tangent bundles with horizontal Sasaki gradient metric ⋮ Some Notes on Berger Type Deformed Sasaki Metric in the Cotangent Bundle ⋮ Para-Complex Norden Structures in Cotangent Bundle Equipped with Vertical Rescaled Cheeger–Gromoll Metric ⋮ Geometry of Mus-Sasaki metric ⋮ Some results on harmonic metrics ⋮ Unnamed Item ⋮ $g$-natural metric and harmonicity on the cotangent bundle ⋮ Extended Structures on Codistributions of Contact Metric Manifolds ⋮ Para-complex structures on linear coframe bundle with Sasakian metric ⋮ Geometry of the cotangent bundle with Sasakian metrics and its applications ⋮ A Report on Harmonic Maps ⋮ On bronze Riemannian structures ⋮ Vertical rescaled Cheeger-Gromoll metric and harmonicity on the cotangent bundle ⋮ Unnamed Item ⋮ Berger Type Deformed Sasaki Metric and Harmonicity on the Cotangent Bundle ⋮ Unnamed Item ⋮ Derivatives of Sasakian metric ^{S}g on Cotangent Bundle

Cites Work

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• 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
• On the differential geometry of frame bundles of Riemannian manifolds.
• On certain operators associated with tensor fields
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.

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