Infinitesimal isometries on tangent sphere bundles over three-dimensional manifolds

DOI10.32917/hmj/1323700039zbMath1235.53051OpenAlexW1582742880MaRDI QIDQ663544

Tatsuo Konno

Publication date: 17 February 2012

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

Full work available at URL: https://projecteuclid.org/euclid.hmj/1323700039

zbMATH Keywords

tangent sphere bundleframe bundleinfinitesimal isometry

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) (G)-structures (53C10)

Related Items (1)

On $g$-natural conformal vector fields on unit tangent bundles

Cites Work

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

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