Compact Six-Dimensional Kähler Spin Manifolds of Positive Scalar Curvature with the Smallest Possible First Eigenvalue of the Dirac Operator.
Compactly supported frames for spaces of distributions associated with nonnegative self-adjoint operators
A small perturbation method is developed and employed to construct frames with compactly supported elements of small shrinking support for Besov and Triebel-Lizorkin spaces in the general setting of a doubling metric measure space in the presence of a nonnegative self-adjoint operator whose heat kernel has Gaussian localization and the Markov property. This allows one, in particular, to construct compactly supported frames for Besov and Triebel-Lizorkin spaces on the sphere, on the interval with...
Compactness and finiteness theorems for isospectral manifolds.
Compactness and global estimates for the geometric Paneitz equation in high dimensions.
Compactness of isospectral conformal metrics on S3.
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.