On the tangent sphere bundle of a 2-sphere

DOI10.2748/tmj/1178241033zbMath0309.53036OpenAlexW2123890246MaRDI QIDQ1219068

Shigeo Sasaki, Wilhelm Klingenberg

Publication date: 1975

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241033

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (18)

Riemannian metrics on tangent bundles ⋮ Magnetic trajectories on tangent sphere bundle with g-natural metrics ⋮ Minimally immersed Klein bottles in the unit tangent bundle of the unit 2-sphere arising from area-minimizing unit vector fields on \(\mathbb{S}^2\backslash \{ N,S\}\) ⋮ Geometry of tangent bundles and spaces over algebras ⋮ Area-minimizing vector fields on round 2-spheres ⋮ Extreme values of the sectional curvature of the Sasakian metric of \(T_ 1(M^ n,K)\) ⋮ Naturality of homogeneous metrics on stiefel manifolds \(SO(m + 1)/SO(m - 1)\) ⋮ Generalized Cheeger-Gromoll metrics and the Hopf map ⋮ Slant curves in the unit tangent bundles of surfaces ⋮ Courbure de Ricci et géométrie conforme. (Ricci curvature and conformal geometry) ⋮ On the tangent sphere bundle of a Riemannian 2-manifold ⋮ On the tangent bundle of a hypersurface in a Riemannian manifold ⋮ Geodesic Motions in SO(2,1) ⋮ Magnetic curves on tangent sphere bundles ⋮ The curvature of the Sasaki metric of tangent sphere bundles ⋮ Decomposition of Killing vector fields on tangent sphere bundles ⋮ Geodesics and Killing vector fields on the tangent sphere bundle ⋮ When is the tangent sphere bundle conformally flat?

Cites Work

• Unnamed Item
• On the differential geometry of tangent bundles of Riemannian manifolds

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