In this talk we will discuss some compactness theorems for minimal hypersurfaces with bounded index and area; in particular we prove that the total curvature is quantised by the limit hypersurface and finitely many properly embedded minimal hypersurfaces in Euclidean space. Easy corollaries of this result lead to qualitative estimates on topology and total curvature for minimal hypersurfaces with bounded index and area. Most of the work we present is joint with Reto Müller.
http://cvgmt.sns.it/seminar/484/
When | Thu Nov 5, 2015 10am – 11am Coordinated Universal Time |
Where | Scuola Normale Superiore, Aula Tonelli (map) |