Handle Addition for doubly-periodic Scherk Surfaces
Differential Geometry
2010-08-02 v1
Abstract
We prove the existence of a family of embedded doubly periodic minimal surfaces of (quotient) genus with orthogonal ends that generalizes the classical doubly periodic surface of Scherk and the genus-one Scherk surface of Karcher. The proof of the family of immersed surfaces is by induction on genus, while the proof of embeddedness is by the conjugate Plateau method.
Cite
@article{arxiv.1007.5478,
title = {Handle Addition for doubly-periodic Scherk Surfaces},
author = {Matthias Weber and Michael Wolf},
journal= {arXiv preprint arXiv:1007.5478},
year = {2010}
}
Comments
44 pages, 13 figures