# The geometry of constant mean curvature disks embedded in R^3.

3 March 2014
14:15
Giuseppe Tinaglia
Abstract
In this talk I will discuss results on the geometry of constant mean curvature (H\neq 0) disks embedded in R^3. Among other things I will prove radius and curvature estimates for such disks. It then follows from the radius estimate that the only complete, simply connected surface embedded in R^3 with constant mean curvature is the round sphere. This is joint work with Bill Meeks.
• Geometry and Analysis Seminar