Conditions for global existence of solutions of ordinary differential, stochastic differential, and parabolic equations.
Cônes symplectiques et opérateurs de Toeplitz
Confomal deformations on a noncompact Riemannian manifold.
Conformal Dirichlet-Neumann maps and Poincaré-Einstein manifolds.
Conformal Geometry and the Composite Membrane Problem
We show that a certain eigenvalue minimization problem in two dimensions for the Laplace operator in conformal classes is equivalent to the composite membrane problem. We again establish such a link in higher dimensions for eigenvalue problems stemming from the critical GJMS operators. New free boundary problems of unstable type arise in higher dimensions linked to the critical GJMS operator. In dimension four, the critical GJMS operator is exactly the Paneitz operator.
Conformal gradient vector fields on a compact Riemannian manifold
It is proved that if an n-dimensional compact connected Riemannian manifold (M,g) with Ricci curvature Ric satisfying 0 < Ric ≤ (n-1)(2-nc/λ₁)c for a constant c admits a nonzero conformal gradient vector field, then it is isometric to Sⁿ(c), where λ₁ is the first nonzero eigenvalue of the Laplacian operator on M. Also, it is observed that existence of a nonzero conformal gradient vector field on an n-dimensional compact connected Einstein manifold forces it to...
Conformal indices of riemannian manifolds
Conformal metrics with constant -curvature.
Conformal scalar curvature on the hyperbolic space.
Conformally bending three-manifolds with boundary
Given a three-dimensional manifold with boundary, the Cartan-Hadamard theorem implies that there are obstructions to filling the interior of the manifold with a complete metric of negative curvature. In this paper, we show that any three-dimensional manifold with boundary can be filled conformally with a complete metric satisfying a pinching condition: given any small constant, the ratio of the largest sectional curvature to (the absolute value of) the scalar curvature is less than this constant....
Conformally flat manifolds, Kleinian groups and scalar curvature.
Conic degeneration of the Dirac operator
Conjoint spectral asymptotics for the families of commuting operators and for operators with the periodic hamiltonian flow
Connexions et martingales dans les groupes de Lie
Consequences of the validity of Huygens' principle for the conformally invariant scalar wave equation, Weyl's neutrino equation and Maxwell's equations on Petrov type II space-times
Conservation laws for equations related to soil water equations.
Constructibilité des solutions des systèmes microdifférentiels
Construction de laplaciens dont une partie finie (avec multiplicités) du spectre est donnée
Construction de laplaciens dont une partie finie du spectre est donnée
Construction des cycles évanescents d'un système différentiel par seconde microlocalisation