Natural Ricci Solitons on tangent and unit tangent bundles

zbMath1488.53146arXiv1911.10618MaRDI QIDQ5155070

Mohamed Tahar Kadaoui Abbassi, Noura Amri

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/1911.10618

zbMATH Keywords

tangent bundleRicci solitons\(g\)-natural metricsmetrics of Kaluza-Klein typeunit tangent (sphere) bundle

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometry of Kaluza-Klein metrics on the sphere \(\mathbb S^3\)
• Paracontact metric structures on the unit tangent sphere bundle
• An existence theorem for harmonic sections
• Naturality of homogeneous metrics on stiefel manifolds \(SO(m + 1)/SO(m - 1)\)
• \(g\)-natural contact metrics on unit tangent sphere bundles
• Killing vector fields on tangent sphere bundles
• Kaluza-Klein type Ricci solitons on unit tangent sphere bundles
• Three-dimensional Lorentzian homogeneous Ricci solitons
• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• On Riemannian \(g\)-natural metrics of the form \(a.gs + b.gh + c.gv\) on the tangent bundle of a Riemannian manifold \((M, g)\)
• Geodesic Ricci solitons on unit tangent sphere bundles
• Geometry of Ricci solitons
• On Einstein Riemannian \(g\)-natural metrics on unit tangent sphere bundles
• HARMONIC SECTIONS OF TANGENT BUNDLES EQUIPPED WITH RIEMANNIAN g-NATURAL METRICS
• HOMOGENEOUS AND H-CONTACT UNIT TANGENT SPHERE BUNDLES
• $g$-natural metrics of constant curvature on unit tangent sphere bundles
• Metrics of Kaluza–Klein type on the anti‐de Sitter space
• On $g$-natural conformal vector fields on unit tangent bundles

This page was built for publication: Natural Ricci Solitons on tangent and unit tangent bundles