Constant mean curvature surfaces of any positive genus
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- March 2004
- DOI:
- 10.48550/arXiv.math/0403381
- arXiv:
- arXiv:math/0403381
- Bibcode:
- 2004math......3381K
- Keywords:
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- Mathematics - Differential Geometry;
- 53A10
- E-Print:
- 14 pages, 10 figures