An overdetermined problem in the 2-sphere and the critical catenoid conjecture

SEMINARIO DE GEOMETRÍA

Conferenciante: Diego A. Marín (Universidad de Granada)

Abstract: In this talk we present a result about a classification of the rotationally-symmetric solutions to an overdetermined problem in the 2-sphere. As a consequence, we give a rigidity result about a certain type of minimal surfaces and as a corollary of this result we provide a new characterization of the critical cetenoid among the embedded free boundary minimal annulus in the unit ball. This is based in a join work with José M. Espinar.