Three-manifolds admitting metrics with the same geodesics (Q699284)
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scientific article; zbMATH DE number 1804055
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-manifolds admitting metrics with the same geodesics |
scientific article; zbMATH DE number 1804055 |
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Three-manifolds admitting metrics with the same geodesics (English)
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20 June 2003
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The author establishes the following theorem: A closed connected three-dimensional manifold admits nonproportional geodesically equivalent Riemannian metrics if and only if it is homeomorphic either to a lens space or to a Seifert manifold with zero Euler number.
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geodesics
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Riemannian metric
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geodesic equivalence
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