Properness and boundedness properties of complete self-shrinkers of the mean curvature flow

Orateur: RIMOLDI Michele
Localisation: Université Paris 13, France
Type: Séminaire de géométrie
Site: Hors LAMA , IMJ P7
Salle: 2007
Date de début: 11/04/2016 - 14:00
Date de fin: 11/04/2016 - 14:00

In this talk we will focus on geometric properties of complete non-compact self-shrinkers for the mean curvature flow which are confined into some regions of the ambient Euclidean space. Notably, we will obtain natural restrictions that force bounded complete self-shrinkers to be compact and we will observe that, to a certain extent, complete self-shrinkers intersect transversally a hyperplane through the origin. These results were inspired by a conjecture by H.D. Cao concerning the extrinsic polynomial volume growth of complete self-shrinkers. This is a joint work with Stefano Pigola.