Constant mean curvature surfaces of any positive genus
S-P Kobayashi, M Kilian, W Rossman, N Schmitt
Abstract
We show the existence of several new families of non-compact constant mean curvature surfaces: (i) singly-punctured surfaces of arbitrary genus g ≥ 1, (ii) doubly-punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.
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