# The geometry of constant mean curvature disks embedded in $\mathbb{R}^3$

##
Giuseppe Tinaglia

created by risa on 22 Oct 2015

29 oct 2015
-- 14:00

Aula 211, Dip. Matematica, Università "Roma Tre", Roma

**Abstract.**

In this talk I will survey several results on the geometry of constant
mean curvature surfaces embedded in $\mathbb{R}^3$. Among other things I will
prove radius and curvature estimates for nonzero constant mean
curvature embedded disks. It then follows from the radius estimate
that the only complete, simply connected surface embedded in $\mathbb{R}^3$ with
constant mean curvature is the round sphere. This is joint work with
Bill Meeks.