Article
Fixed points of Abelian actions
Journal of Modern Dynamics
(2007)
Abstract
We prove that if $\F$ is an abelian group of $C^1$ diffeomorphisms isotopic to the identity of a closed surface $S$ of genus at least two then there is a common fixed point for all elements of $\F.$
Keywords
- Abelian group actions on surfaces,
- fixed points.
Disciplines
Publication Date
July, 2007
Citation Information
John Franks, Michael Handel and Kamlesh Parwani. "Fixed points of Abelian actions" Journal of Modern Dynamics Iss. 3 (2007) Available at: http://works.bepress.com/kamlesh_parwani/5/