The theta function and the Weyl law on manifolds without conjugate points
Résumé
We prove that the usual Theta function on a Riemannian manifold without conjugate points is uniformly bounded from below. This extends a result of Green in two dimensions. We deduce that the Berard remainder in the Weyl law is valid for a manifold without conjugate points, without any restriction on the dimension.
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...