On the cotangent bundle with vertical modified Riemannian extensions

DOI10.5269/BSPM.64108MaRDI QIDQ6596870

Filiz Ocak

Publication date: 3 September 2024

Published in: Boletim da Sociedade Paranaense de Matemática. Terceira Série (Search for Journal in Brave)

zbMATH Keywords

cotangent bundlealmost complex structureRiemannian extensiongolden structure

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

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• Notes on the rescaled Sasaki type metric on the cotangent bundle
• On some differential operators on natural Riemann extensions
• On operators associated with tensor fields
• Analytic tensor and its generalization
• On Kähler-Norden manifolds
• Paraholomorphic B-manifold and its properties
• Integrable affinor structures and their plural interpretations.
• Einstein metrics induced by natural Riemann extensions
• On metric connections with torsion on the cotangent bundle with modified Riemannian extension
• On a cotangent bundle with deformed Riemannian extension
• On deformed Riemannian extensions associated with twin Norden metrics
• On integrability of golden Riemannian structures
• Some remarks concerning Riemannian extensions
• Properties of Modified Riemannian Extensions
• The geometry of modified Riemannian extensions
• Sub-Spaces of a Space with Torsion
• Notes About a New Metric on the Cotangent Bundle
• A characterization of the Riemann extension\newline in terms of harmonicity
• On certain operators associated with tensor fields
• RIEMANN EXTENSIONS

Related Items (1)

A study on the deformed Riemann extensions

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