Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space
Differential Geometry
2008-04-29 v1
Abstract
We describe local similarities and global differences between minimal surfaces in Euclidean 3-space and constant mean curvature 1 surfaces in hyperbolic 3-space. We also describe how to solve global period problems for constant mean curvature 1 surfaces in hyperbolic 3-space, and we give an overview of recent results on these surfaces. We include computer graphics of a number of examples.
Keywords
Cite
@article{arxiv.0804.4198,
title = {Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space},
author = {Wayne Rossman},
journal= {arXiv preprint arXiv:0804.4198},
year = {2008}
}