3 papers
math.DG2017
Construction of embedded periodic surfaces in
Karsten Grosse-Brauckmann, Susanne Kürsten
We construct embedded minimal surfaces which are -periodic in . They are new for codimension . We start with a Jordan curve of edges of the -dimension…
math.DG2005
Coplanar constant mean curvature surfaces
Karsten Grosse-Brauckmann, Robert B. Kusner, John M. Sullivan
We consider constant mean curvature surfaces of finite topology, properly embedded in three-space in the sense of Alexandrov. Such surfaces with three ends and genus zero were cons…
math.DG2001
Triunduloids: Embedded constant mean curvature surfaces with three ends and genus zero
Karsten Grosse-Brauckmann, Robert B Kusner, John M Sullivan
In 1841, Delaunay constructed the embedded surfaces of revolution with constant mean curvature (CMC); these unduloids have genus zero and are now known to be the only embedded CMC…