38 citations · 309 across the 47 of their papers we have counts for
6 papers · 1 filter
Anomalous Anosov flows revisited
Thomas Barthelmé, Christian Bonatti, Andrey Gogolev +1
This paper is devoted to higher dimensional Anosov flows and consists of two parts. In the first part, we investigate fiberwise Anosov flows on affine torus bundles which fiber ove…
Existence of common zeros for commuting vector fields on -manifolds II. Solving global difficulties
Sébastien Alvarez, Christian Bonatti, Bruno Santiago
We address the following conjecture about the existence of common zeros for commuting vector fields in dimension three: if are two commuting vector fields on a -mani…
Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group
Christian Bonatti, Alex Eskin, Amie Wilkinson
We consider the action of on a vector bundle preserving an ergodic probability measure on the base . Under an irreducibility assumption on th…
Hyperbolicity as an obstruction to smoothability for one-dimensional actions
Christian Bonatti, Yash Lodha, Michele Triestino
Ghys and Sergiescu proved in the s that Thompson's group , and hence , admits actions by diffeomorphisms of the circle . They proved that the standard action…
Anomalous partially hyperbolic diffeomorphisms III: abundance and incoherence
Christian Bonatti, Andrey Gogolev, Andy Hammerlindl +1
Let be a closed 3-manifold which admits an Anosov flow. In this paper we develop a technique for constructing partially hyperbolic representatives in many mapping classes of $M…
Star fows and multisingular hyperbolicity
Christian Bonatti, Adriana da Luz
A vector field X is called a star flow if every periodic orbit, of any vector field C1-close to X, is hyperbolic. It is known that the chain recurrence classes of a generic star fl…