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

DOI10.2478/s11533-012-0033-7zbMath1262.53021OpenAlexW1972976507MaRDI QIDQ424134

Oldřich Kowalski, Masami Sekizawa

Publication date: 31 May 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0033-7

zbMATH Keywords

Riemannian manifoldaffine connectionlinear frame bundleSasaki-Mok metricnatural metric

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 (3)

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Cites Work

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• Natural transformations of symmetric affine connections on manifolds to metrics on linear frame bundles: A classification
• Riemannian metrics on tangent bundles
• Invariance of the naturally lifted metrics on linear frame bundles over affine manifolds
• On the geometry of orthonormal frame bundles
• On the differential geometry of frame bundles of Riemannian manifolds.
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
• RIEMANN EXTENSIONS

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