Constant mean curvature surfaces of any positive genus

Details Constant mean curvature surfaces of any positive genus Constant mean curvature surfaces of any positive genus

2004-03-23

arxiv.org/abs/math/0403381v1

J. London Math. Soc. (2) 72 (2005), 258-272.

Mathematics

Differential Geometry

14 pages, 10 figures

Scientific paper

10.1112/S000246107050006472

We show the existence of several new families of non-compact constant mean
curvature surfaces: (i) singly-punctured surfaces of arbitrary genus $g \geq
1$, (ii) doubly-punctured tori, and (iii) doubly periodic surfaces with
Delaunay ends.

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