“Stable hypersurfaces in the complex projective space”
Wednesday 15 January 2020, h. 14:30 - Room 2BC30 - Alberto Righini (Padova, Dip. Mat.)
The classification of complete oriented stable hypersurfaces in the complex projective space could be an important step for the classification of isoperimetric sets. Indeed, the boundary of an isoperimetric set, if smooth, is a hypersurface with constant mean curvature which is stable for variations fixing the volume.
In this talk we give an introductory overview of the problem and present some new results, in particular we will characterize the geodesic spheres as the unique stable connected and complete hypersurfaces subject to a certain bound on the curvatures.