Triply Periodic Minimal Surfaces Bounded by Vertical Symmetry Planes
Differential Geometry
2008-05-21 v1 Complex Variables
Abstract
We give a uniform and elementary treatment of many classical and new triply periodic minimal surfaces in Euclidean space, based on a Schwarz-Christoffel formula for periodic polygons in the plane. Our surfaces share the property that vertical symmetry planes cut them into simply connected pieces.
Keywords
Cite
@article{arxiv.0805.3095,
title = {Triply Periodic Minimal Surfaces Bounded by Vertical Symmetry Planes},
author = {Shoichi Fujimori and Matthias Weber},
journal= {arXiv preprint arXiv:0805.3095},
year = {2008}
}
Comments
30 pages, 56 figures