10 citations · 24 across the 7 of their papers we have counts for
7 papers
Closed and transitive transformation groups of a surface
Ferry Kwakkel
The purpose of this paper is to survey the structure of closed and transitive transformation groups acting on a closed surface. In particular, we prove a number of relations betwee…
Homogeneous Transformation Groups of the Sphere
Ferry Kwakkel, Fabio Tal
In this paper, we study the structure of homogeneous subgroups of the homeomorphism group of the sphere, which are defined as closed groups of homeomorphisms of the sphere that con…
Focal rigidity of hyperbolic surfaces
Ferry Kwakkel
In this note, we consider the rigidity of the focal decomposition of closed hyperbolic surfaces. We show that, generically, the focal decomposition of a closed hyperbolic surface d…
Focal Rigidity of Flat Tori
Ferry Kwakkel, Marco Martens, Mauricio Peixoto
Given a closed Riemannian manifold (M, g), there is a partition Σ_i of its tangent bundle TM called the focal decomposition. The sets Σ_i are closely associated to focusing of geod…
Minimal sets of non-resonant torus homeomorphisms
Ferry Kwakkel
As was known to H. Poincare, an orientation preserving circle homeomorphism without periodic points is either minimal or has no dense orbits, and every orbit accumulates on the uni…
Topological Entropy and Diffeomorphisms of Surfaces with Wandering Domains
Ferry Kwakkel, Vlad Markovic
Let be a closed surface and a diffeomorphism of . A diffeomorphism is said to permute a dense collection of domains, if the union of the domains are dense and the iterat…