Existence of a closed geodesic on p-convex sets (Q912446)
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scientific article; zbMATH DE number 4144978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of a closed geodesic on p-convex sets |
scientific article; zbMATH DE number 4144978 |
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Existence of a closed geodesic on p-convex sets (English)
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1988
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After giving a variational characterization of closed geodesics on a locally closed p-convex set in a Hilbert space and deriving homotopical properties of the space of the admissible paths the author proves that there exists a non-constant closed geodesic on any compact p-convex connected and non-contractible in itself subset of \({\mathbb{R}}^ n\).
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closed geodesics
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p-convex set
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