HOMOGENEOUS AND H-CONTACT UNIT TANGENT SPHERE BUNDLES

DOI10.1017/S1446788710000157zbMath1195.53045MaRDI QIDQ3577303

Domenico Perrone, Giovanni Calvaruso

Publication date: 22 July 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

unit tangent sphere bundletwo-point homogeneous spaces\(g\)-natural metric\(H\)-contact spaces

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, Geodesic Ricci solitons on unit tangent sphere bundles, Geometry of Kaluza-Klein metrics on the sphere \(\mathbb S^3\), g‐natural symmetries on tangent bundles, Harmonic morphisms and Riemannian geometry of tangent bundles, The harmonicity of the Reeb vector field with respect to Riemannian \(g\)-natural metrics, Paracontact metric structures on the unit tangent sphere bundle, Metrics of Kaluza–Klein type on the anti‐de Sitter space, On the standard nondegenerate almost CR structure of tangent hyperquadric bundles, Contact semi-Riemannian structures in CR geometry: some aspects, Natural Ricci Solitons on tangent and unit tangent bundles, H-CONTACT UNIT TANGENT SPHERE BUNDLES OF FOUR-DIMENSIONAL RIEMANNIAN MANIFOLDS, On $g$-natural conformal vector fields on unit tangent bundles

Cites Work

• Osserman manifolds of dimension 8
• An existence theorem for harmonic sections
• The harmonicity of the Reeb vector field on contact metric 3-manifolds
• Naturality of homogeneous metrics on stiefel manifolds \(SO(m + 1)/SO(m - 1)\)
• \(g\)-natural contact metrics on unit tangent sphere bundles
• Riemannian metrics on tangent bundles
• Unit tangent sphere boundles and two-point homogeneous spaces
• 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 \(n \not= 8, 16\)
• Contact metric manifolds whose characteristic vector field is a harmonic vector field
• \(H\)-contact unit tangent sphere bundles
• On the structure of complete manifolds of nonnegative curvature
• Harmonic characteristic vector fields on contact metric three-manifolds
• THE CURVATURE OF EINSTEIN SYMMETRIC SPACES