Prolongations of Riemannian metrics from differentiable manifold to its linear frame bundle (Q2366394)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Prolongations of Riemannian metrics from differentiable manifold to its linear frame bundle |
scientific article |
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Prolongations of Riemannian metrics from differentiable manifold to its linear frame bundle (English)
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29 June 1993
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The author deduces that the so-called complete lift \(g^ C\) of a Riemannian metric \(g\) on a manifold \(M\) to the bundle of all linear frames on \(M\) is a Riemannian metric as well. Then he studies the infinitesimal isometries of \(g^ C\) in connection with the infinitesimal isometries of \(g\).
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complete lift
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linear frames
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infinitesimal isometries
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