15 citations · 82 across the 22 of their papers we have counts for
8 papers · 1 filter
Genus one Birkhoff sections for geodesic flows on orbifolds
Pierre Dehornoy
For a hyperbolic orientable 2-orbifold of genus with at most conic points, we prove that the geodesic flow on the unitary tangent bundle$\mathrm{T}^1\mathc…
Left-handed geodesic flow of spheres of revolution
Pierre Dehornoy, Ana Rechtman
A flow on a 3-manifold is left-handed if any two ergodic invariant measures have negative linking number. We prove that on a 2-sphere of revolution whose curvature is -pinched…
Generic properties of -dimensional Reeb flows: Birkhoff sections and entropy
Vincent Colin, Pierre Dehornoy, Umberto Hryniewicz +1
In this paper we use broken book decompositions to study Reeb flows on closed -manifolds. We show that if the Liouville measure of a nondegenerate contact form can be approximat…
On the existence of supporting broken book decompositions for contact forms in dimension 3
Vincent Colin, Pierre Dehornoy, Ana Rechtman
We prove that in dimension 3 every nondegenerate contact form is carried by a broken book decomposition. As an application we get that if M is a closed irreducible oriented 3-manif…
Divide monodromies and antitwists on surfaces
Pierre Dehornoy, Livio Liechti
A divide on an orientable 2-orbifold gives rise to a fibration of the unit tangent bundle to the orbifold.We characterize the corresponding monodromies as exactly the products of a…
Almost equivalence of suspension Anosov flows
Mario Shannon, Pierre Dehornoy
We provide a written proof of a result due to H. Minakawa, which states that all suspension Anosov flows generated by hyperbolic matrices with positive trace are pairwise almost eq…
Vector fields and genus in dimension 3
Pierre Dehornoy, Ana Rechtman
Given a flow on a 3-dimensional integral homology sphere, we give a formula for the Euler characteristic of its transverse surfaces, in terms of boundary data only. We illustrate t…
The trunkenness of a volume-preserving vector field
Pierre Dehornoy, Ana Rechtman
We construct a new invariant-the trunkenness-for volume-perserving vector fields on S^3 up to volume-preserving diffeomorphism. We prove that the trunkenness is independent from th…