\(g\)-natural contact metrics on unit tangent sphere bundles

DOI10.1007/s00605-006-0421-9zbMath1128.53049OpenAlexW1980844866MaRDI QIDQ996712

Giovanni Calvaruso, Mohamed Tahar Kadaoui Abbassi

Publication date: 19 July 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-006-0421-9

zbMATH Keywords

unit tangent sphere bundle\(g\)-natural metriccontact metric geometry

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)

Related Items

Kaluza-Klein type Ricci solitons on unit tangent sphere bundles, On Einstein Riemannian \(g\)-natural metrics on unit tangent sphere bundles, Golden Riemannian structures on the tangent bundle with g-natural metrics, Variations of gwistor space, Magnetic trajectories on tangent sphere bundle with g-natural metrics, Geometry of Kaluza-Klein metrics on the sphere \(\mathbb S^3\), Sasakian structures on tangent sphere bundles of compact rank-one symmetric spaces, Harmonic morphisms and Riemannian geometry of tangent bundles, Invariant contact metric structures on tangent sphere bundles of compact symmetric spaces, The harmonicity of the Reeb vector field with respect to Riemannian \(g\)-natural metrics, Levi harmonic maps of contact Riemannian manifolds, Totally geodesic property of the unit tangent sphere bundle with \(g\)-natural metrics, Taut contact hyperbolas on three-manifolds, Paracontact metric structures on the unit tangent sphere bundle, On vector bundle manifolds with spherically symmetric metrics, Naturality of homogeneous metrics on stiefel manifolds \(SO(m + 1)/SO(m - 1)\), HOMOGENEOUS AND H-CONTACT UNIT TANGENT SPHERE BUNDLES, Metrics of Kaluza–Klein type on the anti‐de Sitter space, Homotheties and topology of tangent sphere bundles, Natural Ricci Solitons on tangent and unit tangent bundles, On $g$-natural conformal vector fields on unit tangent bundles

Cites Work

• Osserman manifolds of dimension 8
• Torsion tensor and critical metrics on contact \((2n + 1)\)-manifolds
• Unit tangent sphere boundles and two-point homogeneous spaces
• Tangent sphere bundles satisfying \(\nabla_ \xi \tau=0\)
• Harmonic and minimal vector fields on tangent and unit tangent bundles
• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• Osserman conjecture in dimension \(n \not= 8, 16\)
• The standard CR structure on the unit tangent bundle
• \(H\)-contact unit tangent sphere bundles
• On contact structures of tangent sphere bundles