On $g$-natural conformal vector fields on unit tangent bundles

DOI10.21136/CMJ.2020.0193-19OpenAlexW3075092306MaRDI QIDQ5858481

Noura Amri, Mohamed Tahar Kadaoui Abbassi

Publication date: 13 April 2021

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2020.0193-19

zbMATH Keywords

unit tangent bundleconformal vector field\(g\)-natural metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Rigidity results (53C24)

Related Items (1)

Natural Ricci Solitons on tangent and unit tangent bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Harmonic maps and Kaluza-Klein metrics on spheres
• Paracontact metric structures on the unit tangent sphere bundle
• Geometry of conformal vector fields
• Infinitesimal isometries on tangent sphere bundles over three-dimensional manifolds
• An existence theorem for harmonic sections
• 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 the differential geometry of tangent bundles of Riemannian manifolds. II
• Killing vector fields on tangent sphere bundles
• Kaluza-Klein type Ricci solitons on unit tangent sphere bundles
• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• Killing vector fields on tangent bundles with Cheeger-Gromoll metric
• Conformal vector fields with respect to the Sasaki metric tensor
• Prolongations of tensor fields and connections to tangent bundles. I: General theory
• Prolongations of tensor fields and connections to tangent bundles. II: Infinitesimal automorphisms
• On Einstein Riemannian \(g\)-natural metrics on unit tangent sphere bundles
• On the Geometry of the Tangent Bundle.
• HOMOGENEOUS AND H-CONTACT UNIT TANGENT SPHERE BUNDLES
• Killing vectors and geodesic flow vectors on tangent bundles.
• $g$-natural metrics of constant curvature on unit tangent sphere bundles
• Metrics of Kaluza–Klein type on the anti‐de Sitter space
• Conformal vector fields on tangent bundle of a Riemannian manifold
• Conformal vector fields on tangent bundle of a Riemannian manifold

This page was built for publication: On $g$-natural conformal vector fields on unit tangent bundles