Constant mean curvature surfaces

2016/05/09 by Meeks, William H., Perez, Joaquin, Tinaglia, Giuseppe
#49Q05 #53A10 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.02512

Abstract

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.

Related

• Recent advances in the global theory of constant mean curvature surfaces
• Rotationally invariant constant mean curvature surfaces in homogeneous 3-manifolds
• Constant mean curvature surfaces with Delaunay ends
• Constant mean curvature surfaces of Delaunay type along a closed geodesic
• A characterization of constant mean curvature surfaces in homogeneous 3-manifolds