1 citations · 1 across the 6 of their papers we have counts for
6 papers
Compact foliations with finite transverse LS category
Steven Hurder, Pawel G. Walczak
We prove that if F is a foliation of a compact manifold M with all leaves compact submanifolds, and the transverse saturated category of F is finite, then the leaf space M/F is com…
Dupin cyclides osculating surfaces
Adam Bartoszek, Paweł G. Walczak, Szymon M. Walczak
This article is devoted to the study of cyclides osculating general surfaces. We show that generically, at any point of a surface, one has a one-parameter family of cyclides tangen…
Dynamical behavior of Darboux curves
Ronaldo Garcia, Remi Langevin, Pawel Walczak
In 1872 G. Darboux defined a family of curves on surfaces of R^3 which are preserved by the action of the Mobius group and share many properties with geodesics. Here we characteriz…
Boundary entropy of a hyperbolic group
A. Bis, P. G. Walczak
We show that the entropy of a hyperbolic group acting on its ideal boundary is closely related to the exponential rate of its growth.
Pseudo-orbits, pseudoleaves and geometric entropy of foliations
Andrzej Biś, Paweł Walczak
We show that the entropy of a finitely generated pseudogroup (resp., of a foliation of a compact Riemannian manifold) can be calculated by suitable counting separated pseudo-orbits…
Some curvature estimates for Riemannian manifolds equipped with foliations of rank 2
Pawel Walczak
Some curvature estimates are derived from geometrical data concerning quasi-conformality properties of some commuting linearly independent vector fields on a compact Riemannian man…