Infinitesimal isometries of frame bundles with a natural Riemannian metric. II

DOI10.2748/TMJ/1178225716zbMath0835.53047OpenAlexW2124629296WikidataQ115227258 ScholiaQ115227258MaRDI QIDQ1338404

Hitoshi Takagi, Makoto Yawata

Publication date: 31 March 1996

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

Full work available at URL: https://doi.org/10.2748/tmj/1178225716

zbMATH Keywords

decompositionholonomy groupKilling fieldnatural liftparallel 2-form

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Global Riemannian geometry, including pinching (53C20) Local Riemannian geometry (53B20)

Cites Work

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• Infinitesimal isometries of frame bundles with natural Riemannian metric
• 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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