Quantitative symmetry in OBVP's and related problems in geometry

Giorgio Poggesi (Università di Firenze)

30/03/2017, ore 12:00, aula 5

Alexandrov's Soap Bubble theorem states that a compact hypersurface embedded in R^N with constant mean curvature must be a sphere. We will start discussing about the stability for this celebrated result. The question is: how much a hypersurface is near to be a sphere if its mean curvature is near to be constant in some norm?
Then we will deal with the stability for the symmetry of some related overdetermined boundary value problems.
The talk is based on a joint work with R. Magnanini (Firenze).