Killing vector fields on tangent sphere bundles

DOI10.2996/KMJ/1138043835zbMath0907.53033OpenAlexW2146333696MaRDI QIDQ1267471

Tatsuo Konno

Publication date: 4 March 1999

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043835

zbMATH Keywords

tangent sphere bundleKilling vector fieldsspaces of constant curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (7)

Conformal vector fields and Ricci soliton structures on natural Riemann extensions ⋮ Infinitesimal isometries on tangent sphere bundles over three-dimensional manifolds ⋮ On the tangent bundle of a hypersurface in a Riemannian manifold ⋮ Natural Ricci Solitons on tangent and unit tangent bundles ⋮ On $g$-natural conformal vector fields on unit tangent bundles ⋮ Decomposition of Killing vector fields on tangent sphere bundles ⋮ Geodesics and Killing vector fields on the tangent sphere bundle

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• Killing vectors and geodesic flow vectors on tangent bundles.
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.

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