Golden Riemannian structures on the tangent bundle with g-natural metrics

DOI10.2298/FIL1908543PzbMath1499.53051WikidataQ115229891 ScholiaQ115229891MaRDI QIDQ5080866

Farshad Firuzi, Esmaeil Peyghan, Uday Chand De

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

\(g\)-natural metricsstructure tensorsgolden Riemannian structures

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Geometric structures on manifolds of high or arbitrary dimension (57N16) Local Riemannian geometry (53B20) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (3)

Metallic Riemannian Structures on the Tangent Bundles of Riemannian Manifolds with $g-$Natural Metrics ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Paracontact metric structures on the unit tangent sphere bundle
• On the differential geometry of tangent bundles of Riemannian manifolds
• Naturality of homogeneous metrics on stiefel manifolds \(SO(m + 1)/SO(m - 1)\)
• \(g\)-natural contact metrics on unit tangent sphere bundles
• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• Locally decomposable golden Riemannian tangent bundles with Cheeger-Gromoll metric
• Riemannian geometry of contact and symplectic manifolds

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