Fixed Points of abelian actions on $S^2$
| dc.creator | Franks, John | |
| dc.creator | Handel, Michael | |
| dc.creator | Parwani, Kamlesh | |
| dc.date | 2005-09-23 | |
| dc.date | 2005-12-29 | |
| dc.date.accessioned | 2026-07-07T06:43:07Z | |
| dc.date.available | 2026-07-07T06:43:07Z | |
| dc.description | We prove that if $F$ is a finitely generated abelian group of orientation preserving $C^1$ diffeomorphisms of $R^2$ which leaves invariant a compact set then there is a common fixed point for all elements of $F.$ We also show that if $F$ is any abelian subgroup of orientation preserving $C^1$ diffeomorphisms of $S^2$ then there is a common fixed point for all elements of a subgroup of $F$ with index at most two. | |
| dc.identifier | https://arxiv.org/abs/math/0509574 | |
| dc.identifier | http://arxiv.org/abs/math/0509574 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102292 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37E30 | |
| dc.title | Fixed Points of abelian actions on $S^2$ | |
| dc.type | text |