4 citations · 11 across the 5 of their papers we have counts for
6 papers
Global fixed points for nilpotent actions on the torus
Sebastião Firmo, Javier Ribón
An isotopic to the identity map of the -torus, that has zero rotation vector with respect to an invariant ergodic probability measure, has a fixed point by a theorem of Franks.…
Finite orbits for nilpotent actions on the torus
Sebastião Firmo, Javier Ribón
A homeomorphism of the -torus with Lefschetz number different from zero has a fixed point. We give a version of this result for nilpotent groups of diffeomorphisms. We prove tha…
Fixed points for nilpotent actions on the plane and the Cartwright-Littlewood theorem
S. Firmo, J. Ribón, J. Velasco
The goal of this paper is proving the existence and then localizing global fixed points for nilpotent groups generated by homeomorphisms of the plane satisfying a certain Lipschitz…
Localizing common fixed points of commuting diffeomorphisms of the plane
S. Firmo
We prove that if is an Abelian subgroup generated by a family of commuting diffeomorphisms of the plane, all of which are -close to t…
A Note on Commuting Diffeomorphisms on Surfaces
S. Firmo
Let S be a closed surface with nonzero Euler characteristic. We prove the existence of an open neighborhood V of the identity map of S in the C^1-topology with the following proper…
Fixed points of discrete nilpotent group actions on S^2
Suely Druck, Fuquan Fang, Sebastiao Firmo
We prove that for each integer k of at least 2, there is an open neigborhood ν_k of the identity map of the 2-sphere S^2, in C^1-topology such that: if G is a nilpotent subgroup of…