A characterization of the infinitesimal conformal transformations on tangent bundles (Q1016759)
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scientific article; zbMATH DE number 5556424
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of the infinitesimal conformal transformations on tangent bundles |
scientific article; zbMATH DE number 5556424 |
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A characterization of the infinitesimal conformal transformations on tangent bundles (English)
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22 May 2009
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Let \((M,g)\) be a Riemannian manifold. The authors define a new Riemannian metric on \(TM\) and a natural almost product structure on \(M\). It is proved that this is a product structure if and only if the corresponding Riemannian metric is of constant curvature.
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almost product structure
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Riemannian metric
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conformal transformation
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