Para-Complex Norden Structures in Cotangent Bundle Equipped with Vertical Rescaled Cheeger–Gromoll Metric

DOI10.15407/mag17.03.388zbMath1496.53053OpenAlexW3216053016MaRDI QIDQ5087687

Abderrahim Zagane

Publication date: 1 July 2022

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/mag17.03.388

zbMATH Keywords

horizontal liftcotangent bundlesvertical liftpara-complex structurevertical rescaled Cheeger-Gromoll metricpure metric

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56)

Cites Work

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• Some properties of Sasakian metrics in cotangent bundles
• Paraholomorphic B-manifold and its properties
• Riemannian metrics on tangent bundles
• A survey on paracomplex geometry
• Geometry of the cotangent bundle with Sasakian metrics and its applications
• On the structure of complete manifolds of nonnegative curvature
• On the rescaled Riemannian metric of Cheeger-Gromoll type on the cotangent bundle
• NOTES ON PARA-NORDEN–WALKER 4-MANIFOLDS
• On para-Kähler–Norden structures on the tangent bundles
• Homogeneous para-Kähler Einstein manifolds
• On Lie groups as quasi-Kähler manifolds with Killing Norden metric
• Notes About a New Metric on the Cotangent Bundle
• Notes on the tangent bundle with deformed complete lift metric
• On certain operators associated with tensor fields

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