An end-to-end-construction for singly periodic minimal surfaces

Details An end-to-end-construction for singly periodic minimal surfaces An end-to-end-construction for singly periodic minimal surfaces

2008-07-07

arxiv.org/abs/0807.0973v1

Mathematics

Differential Geometry

49 pages

Scientific paper

We show the existence of various families of properly embedded singly
periodic minimal surfaces in R^3 with finite arbitrary genus and Scherk type
ends in the quotient. The proof of our results is based on the gluing of small
perturbations of pieces of already known minimal surfaces.

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