Constant mean curvature surfaces
  In this article we survey recent developments in the theory of constant mean curvature surfaces in homogeneous 3-manifolds, as well as some related aspects on existence and descriptive results for $H$-laminations and CMC foliations of Riemannian $n$-manifolds. 
William H. Meeks III, Joaquin Perez and Giuseppe Tinaglia
math.DG