An end-to-end-construction for singly periodic minimal surfaces
Differential Geometry
2008-07-08 v1
Abstract
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.
Cite
@article{arxiv.0807.0973,
title = {An end-to-end-construction for singly periodic minimal surfaces},
author = {Laurent Hauswirth and Filippo Morabito and Magdalena Rodriguez},
journal= {arXiv preprint arXiv:0807.0973},
year = {2008}
}
Comments
49 pages