Séminaires : Séminaire de Géométrie

Equipe(s) : gd,
Responsables :L. Hauswirth, P. Laurain, R. Souam, E. Toubiana
Email des responsables :
Salle : 1013
Adresse :Sophie Germain

Archive avant 2014

Hébergé par le projet Géométrie et Dynamique de l’IMJ-PRG



Orateur(s) Hojoo LEE - Korea Institute for Advanced Study, Seoul,
Titre Noncompact self-expanding solitons of inverse mean curvature flow
Horaire13:30 à 15:00
RésumeWhile the round spheres are exceptionally rigid among compact self-expanding solitons, even in the class of rotational hypersurfaces, there are interesting examples of complete noncompact self-expanders. Indeed, G. Huisken and T. Ilmanen constructed a complete, rotationally symmetric, self-expander with one asymptotically cylindrical end. First, we use the shooting method to construct new self-expanders, so called infinite bottles, having two cylindrical ends (joint with G. Drugan and G. Wheeler, 2015). Second, motivated by the role of Jacobi fields for constant mean curvature surfaces, we investigate the linearized operator of the soliton equation to establish the rigidity of rotational self-expanders (joint work with G. Drugan and F. Fong, 2016).
AdresseSophie Germain