The geometry of constant mean curvature surfaces in $\mathbb{R}^3$
  We derive intrinsic curvature and radius estimates for compact disks embedded in $\mathbb{R}^3$ with nonzero constant mean curvature and apply these estimates to study the global geometry of complete surfaces embedded in $\mathbb{R}^3$ with nonzero constant mean curvature. 
William H. Meeks III, Giuseppe Tinaglia
math.DG