On the geodesic flow of tori without conjugate points (Q1340921)
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scientific article; zbMATH DE number 704914
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the geodesic flow of tori without conjugate points |
scientific article; zbMATH DE number 704914 |
Statements
On the geodesic flow of tori without conjugate points (English)
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21 December 1994
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Consider a Riemannian torus \(M\) without conjugate points. We prove that the unit tangent bundle \(SM\) admits a continuous foliation by Lipschitz Lagrangian tori which are invariant under the geodesic flow. The construction provides continuous first integrals of the flow.
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Riemannian torus
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conjugate points
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Lipschitz Lagrangian tori
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geodesic flow
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