Existence of metrics with harmonic curvature and non parallel Ricci tensor.
Exotic solutions of the conformal scalar curvature equation in Rn
Exotic structures on 4-manifolds detected by spectral invariants.
Expansion of embedded curves with tuning angle greater than - ... .
Explicit solutions of on the Friedmann-Robertson-Walker space-times
Exponential coordinates and regularity of groupoid heat kernels
We prove that on an asymptotically Euclidean boundary groupoid, the heat kernel of the Laplacian is a smooth groupoid pseudo-differential operator.
Exponential law in the jet bundle, symmetries of differential equations and Cartan's moving frame. (Loi exponentielle dans le fibré des jets, symétries des équations différentielles et repère mobile de Cartan.)
Extended Bloch group and the Cheeger-Chern-Simons class.
Extension of Bochner-Lichnérowicz formula on spheres
Extension of CR functions to «wedge type» domains
Let be a complex manifold, a generic submanifold of , the real underlying manifold to . Let be an open subset of with analytic, a complexification of . We first recall the notion of -tuboid of and of and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for to the extendability of functions on to -tuboids of . Next, if has complex dimension 2, we give results on extension...
Extrema de valeurs propres dans une classe conforme
On s’intéresse au problème de savoir quelle est la rigidité apportée au spectre d’une variété riemannienne compacte par le fait de fixer son volume et se classe conforme, et en particulier de déterminer si on peut faire tendre les valeurs propres vers 0 ou l’infini sous cette contrainte. On considère successivement les cas du laplacien usuel agissant sur les fonctions, l’opérateur de Dirac, le laplacien conforme et le laplacien de Hodge-de Rham.
Extremal domains for the first eigenvalue of the Laplace-Beltrami operator
We prove the existence of extremal domains with small prescribed volume for the first eigenvalue of Laplace-Beltrami operator in some Riemannian manifold. These domains are close to geodesic spheres of small radius centered at a nondegenerate critical point of the scalar curvature.
Extremal eigenvalue problems defined on conformal classes of compact Riemannian manifolds.
Extremal properties of eigenvalues for a metric graph
We establish the sharp lower bound for eigenvalues of a metric graph.
Extrinsic Bounds on ... of ... on a Compact Manifold
Extrinsic Upper Bounds for ...1.