CLOSED GEODESICS IN DILATION SURFACES
Résumé
We introduce the notion of exotic dilation surface, which provides a way to produce a weak form of compactification of the moduli space of dilation surfaces. This notion is devised to enable one to keep track of dynamical properties of their directional foliations along degenerating sequences. We derive from this construction a proof that every dilation surface contains a closed regular geodesic.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)