Infinitesimal isometries of frame bundles with natural Riemannian metric

DOI10.2748/TMJ/1178227538zbMath0739.53017OpenAlexW4242307700WikidataQ115227241 ScholiaQ115227241MaRDI QIDQ1177404

Makoto Yawata, Hitoshi Takagi

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.2748/tmj/1178227538

zbMATH Keywords

curvatureKilling vectorbi-invariant metrichorizontal space

Mathematics Subject Classification ID

Connections (general theory) (53C05)

Related Items (3)

Infinitesimal isometries of frame bundles with a natural Riemannian metric. II ⋮ Infinitesimal isometries on tangent sphere bundles over three-dimensional manifolds ⋮ Decomposition of Killing vector fields on tangent sphere bundles

Cites Work

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• The fundamental equations of a submersion
• On the automorphisms of a real semi-simple Lie algebra
• Killing vectors and geodesic flow vectors on tangent bundles.

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