Tangent sphere bundles satisfying \(\nabla_ \xi \tau=0\)

DOI10.1007/BF01228060zbMath0794.53030MaRDI QIDQ1321700

Domenico Perrone

Publication date: 29 May 1994

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

constant sectional curvaturecontact metric structureunit tangent sphere bundle

Mathematics Subject Classification ID

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

Related Items

Unnamed Item ⋮ When is the unit tangent sphere bundle semi-symmetric? ⋮ \(g\)-natural contact metrics on unit tangent sphere bundles ⋮ Special directions on contact metric manifolds of negative \(\xi\)-sectional curvature ⋮ Special directions on contact metric three-manifolds

Cites Work

• Torsion and critical metrics on contact three-manifolds
• Riemannian metrics on tangent bundles
• Torsion tensor and critical metrics on contact \((2n + 1)\)-manifolds
• Contact manifolds in Riemannian geometry
• Differential geometry of geodesic spheres.
• THE CURVATURE OF EINSTEIN SYMMETRIC SPACES
• Locally symmetric $K$-contact Riemannian manifolds
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
• Unnamed Item
• Unnamed Item
• Unnamed Item