Decomposition of Killing vector fields on tangent sphere bundles

DOI10.2748/TMJ/1178207818zbMath1027.53027OpenAlexW1964615900MaRDI QIDQ1594908

Tatsuo Konno

Publication date: 11 January 2004

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

Full work available at URL: https://doi.org/10.2748/tmj/1178207818

zbMATH Keywords

Sasaki metricorientable Riemannian manifoldtangent sphere bundlebundle of oriented orthonormal framesLie algebra of fiber preserving Killing vector fields

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (1)

Infinitesimal isometries on tangent sphere bundles over three-dimensional manifolds

Cites Work

• Riemannian metrics on tangent bundles
• Infinitesimal isometries of frame bundles with natural Riemannian metric
• On the tangent sphere bundle of a 2-sphere
• Geodesics on the tangent sphere bundle of a Riemannian manifold
• Killing vector fields on tangent sphere bundles
• The fundamental equations of a submersion
• Killing vectors and geodesic flow vectors on tangent bundles.
• Geodesics and Killing vector fields on the tangent sphere bundle

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