15 citations · 58 across the 29 of their papers we have counts for
9 papers · 1 filter
On the singular set of the geodesic flow on nonpositively curved surfaces
Thibault Lefeuvre
We prove that the singular locus of the geodesic flow on the unit tangent bundle of a nonpositively curved surface enjoys an additional regularity property: its characteristic func…
Propagation of regularity along unstable manifolds
Thibault Lefeuvre, Rafael Potrie
Let be a flow on a smooth closed connected manifold that preserves and expands a foliation . We establish a theorem of propagation of regularity along the le…
On the ergodicity of unitary frame flows on Kähler manifolds
Mihajlo Cekić, Thibault Lefeuvre, Andrei Moroianu +1
Let be a closed Kähler manifold with negative sectional curvature and complex dimension . In this article, we study the unitary frame flo…
Isospectral connections, ergodicity of frame flows, and polynomial maps between spheres
Mihajlo Cekić, Thibault Lefeuvre
We show that on closed negatively curved Riemannian manifolds with simple length spectrum, the spectrum of the Bochner Laplacian determines both the isomorphism class of the vector…
Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives
Mihajlo Cekić, Thibault Lefeuvre, Andrei Moroianu +1
We report on some recent progress achieved in [arXiv:2111.14811] on the ergodicity of the frame flow of negatively-curved Riemannian manifolds. We explain the new ideas leading to…
Isometric extensions of Anosov flows via microlocal analysis
Thibault Lefeuvre
We revisit the classical framework developed by Brin, Pesin and others to study ergodicity and mixing properties of isometric extensions of volume-preserving Anosov flows, using th…
On the ergodicity of the frame flow on even-dimensional manifolds
Mihajlo Cekić, Thibault Lefeuvre, Andrei Moroianu +1
It is known that the frame flow on a closed -dimensional Riemannian manifold with negative sectional curvature is ergodic if is odd and . In this paper we study it…
The Holonomy Inverse Problem
Mihajlo Cekić, Thibault Lefeuvre
Let be a smooth Anosov Riemannian manifold and the set of its primitive closed geodesics. Given a Hermitian vector bundle equipped with a…
Classical and microlocal analysis of the X-ray transform on Anosov manifolds
Sébastien Gouëzel, Thibault Lefeuvre
We complete the microlocal study of the geodesic X-ray transform on Riemannian manifolds with Anosov geodesic flow initiated by Guillarmou and pursued by Guillarmou and the second…