Levi-Civita connections on degenerate pseudo-Riemannian manifolds (Q5941868)
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scientific article; zbMATH DE number 1637593
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Levi-Civita connections on degenerate pseudo-Riemannian manifolds |
scientific article; zbMATH DE number 1637593 |
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Levi-Civita connections on degenerate pseudo-Riemannian manifolds (English)
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28 August 2001
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The author studies smooth manifolds with degenerate symmetric bilinear form of constant signature on tangent spaces. He gives necessary and sufficient conditions for the existence of a Levi-Civita connection on such manifolds using cyclicity condition.
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degenerate pseudo-Riemannian manifold
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Levi-Civita connection
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cyclicity condition
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