Homologically visible closed geodesics on complete surfaces (Q6561473)
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scientific article; zbMATH DE number 7870897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homologically visible closed geodesics on complete surfaces |
scientific article; zbMATH DE number 7870897 |
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Homologically visible closed geodesics on complete surfaces (English)
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25 June 2024
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The authors prove that a complete cylinder with isolated closed geodesics carries no, one, or infinitely many geometrically distinct and homologically visible closed geodesics. This answers a question posed by Abbondandolo. The authors extend the work by \textit{V. Bangert} [Math. Ann. 251, 83--96 (1980; Zbl 0422.53024)] who showed that on a complete cylinder of finite area there are infinitely many geometrically distinct closed geodesics.
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closed geodesics
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cylinder
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