On the Number of Periodic Points for Expansive Pseudo-Groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916449094729728 |
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| author | Carrasco, Pablo D. Rego, Elias Rodriguez-Hertz, Jana |
| author_facet | Carrasco, Pablo D. Rego, Elias Rodriguez-Hertz, Jana |
| contents | In this work we consider foliations of compact manifolds whose holonomy pseudo-group is expansive, and analyze their number of compact leaves. Our main result is that in the codimension-one case this number is at most finite, and we give examples of such foliations having one compact leaf. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_07169 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Number of Periodic Points for Expansive Pseudo-Groups Carrasco, Pablo D. Rego, Elias Rodriguez-Hertz, Jana Dynamical Systems 2010 Mathematics Subject Classification. Primary 37C85, 57R30, Secondary 37B05 In this work we consider foliations of compact manifolds whose holonomy pseudo-group is expansive, and analyze their number of compact leaves. Our main result is that in the codimension-one case this number is at most finite, and we give examples of such foliations having one compact leaf. |
| title | On the Number of Periodic Points for Expansive Pseudo-Groups |
| topic | Dynamical Systems 2010 Mathematics Subject Classification. Primary 37C85, 57R30, Secondary 37B05 |
| url | https://arxiv.org/abs/2310.07169 |