Constant mean curvature surfaces of any positive genus
arXiv:math/0403381 · doi:10.1112/S000246107050006472
Abstract
We show the existence of several new families of non-compact constant mean curvature surfaces: (i) singly-punctured surfaces of arbitrary genus , (ii) doubly-punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.
14 pages, 10 figures