Special Session 128: 

Alexandrov Theorem revisited

Matias g Delgadino
Imperial College
Argentina
Co-Author(s):    Francesco Maggi
Abstract:
We show that among sets of finite perimeter balls are the only volume-constrained critical points of the perimeter functional. To obtain the result, we revisit, in a low regularity setting, the proof of the Heintze-Karcher inequality.