Vanishing cohomology of singularities of mappings
Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space
We study vanishing theorems for Killing vector fields on complete stable hypersurfaces in a hyperbolic space . We derive vanishing theorems for Killing vector fields with bounded L²-norm in terms of the bottom of the spectrum of the Laplace operator.
Variation du nombre de Lefschetz dans une famille d'automorphismes analytiques.
Variations of additive functions
We study the relationship between derivates and variational measures of additive functions defined on families of figures or bounded sets of finite perimeter. Our results, valid in all dimensions, include a generalization of Ward’s theorem, a necessary and sufficient condition for derivability, and full descriptive definitions of certain conditionally convergent integrals.
Vers une notion de dérivation fonctionnelle causale