The main result presented here is that the flow associated with a riemannian metric and a non zero magnetic field on a compact oriented surface without boundary, under assumptions of hyperbolic type, cannot have the same length spectrum of topologically corresponding periodic orbits as the geodesic flow associated with another riemannian metric having a negative curvature and the same total volume. The main tool is a regularization inspired by U. Hamenstädt's methods
International audienceWe consider a magnetic Laplacian on a geometrically finite hyperbolic surface,...
We study generation of magnetic fields involving large spatial scales by time- and space-periodic sh...
We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almo...
We refine the recent local rigidity result for the marked length spectrum obtained by the first and ...
AbstractVarious authors have shown that isotopy classes of nonpositively curved Riemannian metrics o...
In this paper we use techniques linking combinatorial structures (symbolic dynamics) and algebraic-g...
We show that, for energies above Mane's critical value, minimal magnetic geodesics are Riemannian (A...
The marked length spectrum (MLS) of a closed negatively curved manifold $(M, g)$ is known to determi...
International audienceWe give examples of rank one compact surfaces on which there exist recurrent g...
This dissertation explores the extent to which lengths of closed geodesics on a Riemannian manifold ...
Abstract. We study the magnetic flow determined by a smooth Riemannian metric g and a closed 2-form ...
Length spectral rigidity is the question of under what circumstances the geometry of a surface can b...
A Riemannian manifold is said to be rigid if the length of periodic geodesics (in the case of a clos...
In the study of surfaces and closed geodesics an important characteristic is the topological entropy...
Let $X_1^t$ and $X_2^t$ be volume preserving Anosov flows on a 3-dimensional manifold $M$. We prove ...
International audienceWe consider a magnetic Laplacian on a geometrically finite hyperbolic surface,...
We study generation of magnetic fields involving large spatial scales by time- and space-periodic sh...
We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almo...
We refine the recent local rigidity result for the marked length spectrum obtained by the first and ...
AbstractVarious authors have shown that isotopy classes of nonpositively curved Riemannian metrics o...
In this paper we use techniques linking combinatorial structures (symbolic dynamics) and algebraic-g...
We show that, for energies above Mane's critical value, minimal magnetic geodesics are Riemannian (A...
The marked length spectrum (MLS) of a closed negatively curved manifold $(M, g)$ is known to determi...
International audienceWe give examples of rank one compact surfaces on which there exist recurrent g...
This dissertation explores the extent to which lengths of closed geodesics on a Riemannian manifold ...
Abstract. We study the magnetic flow determined by a smooth Riemannian metric g and a closed 2-form ...
Length spectral rigidity is the question of under what circumstances the geometry of a surface can b...
A Riemannian manifold is said to be rigid if the length of periodic geodesics (in the case of a clos...
In the study of surfaces and closed geodesics an important characteristic is the topological entropy...
Let $X_1^t$ and $X_2^t$ be volume preserving Anosov flows on a 3-dimensional manifold $M$. We prove ...
International audienceWe consider a magnetic Laplacian on a geometrically finite hyperbolic surface,...
We study generation of magnetic fields involving large spatial scales by time- and space-periodic sh...
We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almo...
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