On the geometry of tangent bundle of Finsler manifold with Cheeger-Gromoll metric

DOI10.22098/JFGA.2021.1260OpenAlexW3195464596MaRDI QIDQ5883342

Z. Raei

Publication date: 21 March 2023

Full work available at URL: http://jfga.uma.ac.ir/article_1260_e9f54721348b6e5779406872b1f5d1c4.pdf

zbMATH Keywords

curvature tensorLevi-Civita connectionFinsler manifoldlocally symmetric manifoldCheeger-Gromoll metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (2)

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Cites Work

• Foliations on the tangent bundle of Finsler manifolds
• Cheeger-Gromoll type metrics on the \((1,1)\)-tensor bundles
• On the differential geometry of tangent bundles of Riemannian manifolds
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• Finslerian complex and Kählerian structures
• Riemannian metrics on tangent bundles
• A geometric characterization of Finsler manifolds of constant curvature \(K=1\)
• On the geometry of tangent bundles
• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• On a class of Riemannian metrics arising from Finsler structures
• ALMOST PARACONTACT STRUCTURES ON TANGENT SPHERE BUNDLE
• ON FINSLER MANIFOLDS WHOSE TANGENT BUNDLE HAS THE g-NATURAL METRIC
• HORIZONTAL LAPLACIAN ON TANGENT BUNDLE OF FINSLER MANIFOLD WITH g-NATURAL METRIC
• THE HOMOGENEOUS LIFT TO THE (1, 1)-TENSOR BUNDLE OF A RIEMANNIAN METRIC
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
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