An elementary proof of the existence of uncountably many nonclosed isometry-invariant geodesics (Q1179150)
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scientific article; zbMATH DE number 24000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elementary proof of the existence of uncountably many nonclosed isometry-invariant geodesics |
scientific article; zbMATH DE number 24000 |
Statements
An elementary proof of the existence of uncountably many nonclosed isometry-invariant geodesics (English)
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26 June 1992
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Let \(A\neq id\) be an isometry of a Riemannian manifold which has a non- closed invariant geodesic and such that the closure of the subgroup generated by A in the group of isometries is compact. The author shows that \(A\) has uncountably many invariant geodesics.
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isometry
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Riemannian manifold
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invariant geodesics
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