Invariance of the naturally lifted metrics on linear frame bundles over affine manifolds

DOI10.5486/PMD.2012.5303zbMath1299.53075OpenAlexW2066047351MaRDI QIDQ2915430

Oldřich Kowalski, Masami Sekizawa

Publication date: 17 September 2012

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5486/pmd.2012.5303

zbMATH Keywords

pseudo-Riemannian manifoldlinear frame bundlenatural metricaffne connection

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Global Riemannian geometry, including pinching (53C20) Linear and affine connections (53B05)

Related Items (1)

Curvatures of the diagonal lift from an affine manifold to the linear frame bundle

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