February 2018 March 2018 |

4:00 pm Wednesday, March 28, 2018 Stulken Seminars: Geometry-Analysis: Alexandrov's theorem revisitedby Francesco Maggi (UT Austin) in HBH 227- Motivated by understanding the asymptotic behavior of the volume-preserving mean curvature flow, we consider sequences of sets of finite perimeter whose mean curvatures converge to a constant in a distributional sense. We show that such a sequence has to converge to a finite union of balls with same radii. This result is based on a far-reaching extension of the classical Alexandrov's theorem (bounded C2 boundaries with constant mean curvature are spheres). This is a joint work with Matias Delgadino at Imperial College London.
Submitted by gchambers@rice.edu |