Energy quantization for Yamabe's problem in conformal dimension.
Engel structures with trivial characteristic foliations.
Engouffrement symplectique et intersections lagrangiennes.
Entire Spacelike Hypersurfaces on Constant Mean Curvature in Minkowski Space.
Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature
Entropies et rigidité des espaces localement symétriques de courbure strictement.
Entropy and complexity of a path in sub-riemannian geometry
We characterize the geometry of a path in a sub-riemannian manifold using two metric invariants, the entropy and the complexity. The entropy of a subset of a metric space is the minimum number of balls of a given radius needed to cover . It allows one to compute the Hausdorff dimension in some cases and to bound it from above in general. We define the complexity of a path in a sub-riemannian manifold as the infimum of the lengths of all trajectories contained in an -neighborhood of the path,...
Entropy and complexity of a path in sub-Riemannian geometry
We characterize the geometry of a path in a sub-Riemannian manifold using two metric invariants, the entropy and the complexity. The entropy of a subset A of a metric space is the minimum number of balls of a given radius ε needed to cover A. It allows one to compute the Hausdorff dimension in some cases and to bound it from above in general. We define the complexity of a path in a sub-Riemannian manifold as the infimum of the lengths of all trajectories contained in an ε-neighborhood of the path,...
Entropy of eigenfunctions of the Laplacian in dimension 2
We study asymptotic properties of eigenfunctions of the Laplacian on compact Riemannian surfaces of Anosov type (for instance negatively curved surfaces). More precisely, we give an answer to a question of Anantharaman and Nonnenmacher [4] by proving that the Kolmogorov-Sinai entropy of a semiclassical measure for the geodesic flow is bounded from below by half of the Ruelle upper bound. (This text has been written for the proceedings of the Journées EDP (Port d’Albret-June, 7-11 2010))
Entropy of Geodesic Flow and Exponent of Convergence of Some Dirichlet Series.
Enveloppe galoisienne d'une application rationnelle de P1.
In 2001, B. Malgrange defines the D-envelope or galoisian envelope of an analytical dynamical system. Roughly speaking, this is the algebraic hull of the dynamical system. In this short article, the D-envelope of a rational map R: P1 --> P1 is computed. The rational maps characterised by a finitness property of their D-envelope appear to be the integrable ones.
Équations différentielles caractéristiques de la sphère
Equivalence of geometric and combinatorial Dehn functions.
Equivalence of Glancing Hypersurfaces.
Equivalence of Glancing Hypersurfaces. II.
Equivalence of Lagrangian germs in the presence of a surface
Équivalence projective et équivalence conforme
Equivariant connected sums of compact self-dual manifolds.
Equivariant harmonic maps into the sphere via isoparametric maps.
Equivariant tori which are critical points of the conformal total tension functional.
Se obtiene un nuevo método para obtener toros de Willmore en estructuras conformes de Kaluza-Klein sobre fibrados principales con fibra la circunferencia. Diversas aplicaciones de esta técnica son consideradas.