Constant mean curvature surfaces of any positive genus

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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.
14 pages, 10 figures

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Differential Geometry, 53A10

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http://salesiana.dossiersoluciones.com/handle/123456789/120279

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403381
 http://arxiv.org/abs/math/0403381
 J. London Math. Soc. (2) 72 (2005), 258-272.
 doi:10.1112/S000246107050006472

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arXiv