Compactness of moduli spaces of negatively curved metrics
Comparaison de spectres d'opérateurs de type Schrödinger et Dirac
Comparative smootheology.
Comparing heat operators through local isometries or fibrations
Comparing homologies: Cech's theory, singular chains, integral flat chains and integral currents.
Comparison of the refined analytic and the Burghelea-Haller torsions
The refined analytic torsion associated to a flat vector bundle over a closed odd-dimensional manifold canonically defines a quadratic form on the determinant line of the cohomology. Both and the Burghelea-Haller torsion are refinements of the Ray-Singer torsion. We show that whenever the Burghelea-Haller torsion is defined it is equal to . As an application we obtain new results about the Burghelea-Haller torsion. In particular, we prove a weak version of the Burghelea-Haller conjecture relating...
Compatibility Operators for Degenerate Elliptic Equations on the Ball and Heisenberg Groups.
Competing Symmetries, the Logarithmic HLS Inequality and Onofri's Inequality on Sn.
Complete asymptotics for correlations of Laplace integrals in the semi-classical limit
Complete differentials of higher order in linear field modules
Complete Finsler manifolds and adapted coordinates.
Complete lifts of harmonic maps and morphisms between Euclidean spaces.
Complete Mellin symbols and the conormal asymptotics in boundary value problems
Complete minimal hypersurfaces with prescribed asymptotics at infinity.
Complétude asymptotique pour l'équation des ondes dans une classe d'espaces-temps stationnaires et asymptotiquement plats
En utilisant une méthode dépendante du temps, nous démontrons la complétude asymptotique pour l'équation des ondes dans une classe d'espaces-temps stationnaires et asymptotiquement plats. On introduit l'observable de vitesse asymptotique et on décrit son spectre (sous des hypothèses plus faibles que pour la complétude asymptotique). Les méthodes utilisées sont inspirées par celles de l'analyse du problème à deux corps en mécanique quantique.
Complex Contact Structures and the First Eigenvalue of the Dirac Operator on Kähler Manifolds.
Complex dynamical systems on bounded symmetric domains.
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a -valued function defined on the boundary of a bounded regular domain of . When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges to a unimodular harmonic map away from a codimension-2 minimal current minimizing the area within the homology...
Complex methods in real integral geometry
This is an exposition of a general machinery developed by M. G. Eastwood, T. N. Bailey, C. R. Graham which analyses some real integral transforms using complex methods. The machinery deals with double fibrations complex manifold; totally real, real-analytic submanifold;...
Complex powers of the wave operator.