Embedded, Doubly Periodic Minimal Surfaces
Differential Geometry
2010-01-01 v1
Abstract
We consider the question of existence of embedded doubly periodic minimal surfaces in Euclidean 3-space with Scherk-type ends, surfaces that topologically are Scherk's doubly periodic surface with handles added in various ways. We extend the existence results of H. Karcher and F. Wei to more cases, and we find other cases where existence does not hold.
Keywords
Cite
@article{arxiv.0912.4964,
title = {Embedded, Doubly Periodic Minimal Surfaces},
author = {Wayne Rossman and Edward C. Thayer and Meinhard Wohlgemuth},
journal= {arXiv preprint arXiv:0912.4964},
year = {2010}
}