Self-maps on flat manifolds with infinitely many periods (Q423869)
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scientific article; zbMATH DE number 6039445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-maps on flat manifolds with infinitely many periods |
scientific article; zbMATH DE number 6039445 |
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Self-maps on flat manifolds with infinitely many periods (English)
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30 May 2012
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homotopical minimal period
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flat manifold
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self-map
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period point
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This paper, deals with the homotopical minimal period of self-maps on flat manifolds. More precisely, given a flat manifold \(X\) and a self-map \(f: X\to X\), conditions are given such that the set NEWLINE\[NEWLINE \bigcap_{g\simeq f}\left\{n\in{\mathbb N}: \mathrm{Fix}(g^n)-\bigcup_{k<n}\mathrm{Fix}(g^k)\neq 0\right\}, NEWLINE\]NEWLINE where \(g\) ranges over all self-maps homotopic to \(f\), in an infinite set.
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