Minimal extensions in smooth dynamics
| dc.contributor.author | Dirbák, Matúš | |
| dc.date.accessioned | 2025-09-19T08:04:17Z | |
| dc.date.available | 2025-09-19T08:04:17Z | |
| dc.date.issued | 2024 | |
| dc.description | In: Monatshefte für Mathematik. Viedeň : Springer Nature, 2024. ISSN 0026-9255. Vol. 4, no. 204 (2024), pp. 783-838. | |
| dc.description.abstract | A classical result of Fathi and Herman from 1977 states that a smooth compact connected manifold without boundary admitting a locally free action of a 1-torus, respectively, an almost free action of a 2-torus, admits a minimal diffeomorphism, respectively, a minimal flow. In the first part of our paper we study the existence of locally free and almost free actions of tori on homogeneous spaces of compact connected Lie groups, thus providing new examples of spaces admitting minimal diffeomorphisms or flows. In the second part we combine the ideas of Fathi and Herman with our recent ideas to study the existence of minimal skew products over certain minimal flows with general connected Lie groups as acting groups. Our results apply to so called flows with free cycles. In the last part of our work we study the existence of free cycles in homogeneous flows. | |
| dc.description.sponsorship | VEGA 1/0158/20 Minimálnosť a chaos v dynamických systémoch | |
| dc.identifier.doi | https://doi.org/10.1007/s00605-024-01970-2 | |
| dc.identifier.issn | 0026-9255 | |
| dc.identifier.issn | 1436-5081 | |
| dc.identifier.uri | https://repo.umb.sk/handle/123456789/843 | |
| dc.language.iso | en | |
| dc.publisher | Springer Nature : Viedeň | |
| dc.rights | CC BY Creative Commons Attribution 4.0. International | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | minimálny tok | |
| dc.subject | minimálne rozšírenie | |
| dc.title | Minimal extensions in smooth dynamics | |
| dc.type | Article | |
| dc.type | info:eu-repo/semantics/article |
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