Singularities of Maximal Surfaces
Differential Geometry
2011-11-09 v4
Abstract
We show that the singularities of spacelike maximal surfaces in Lorentz-Minkowski 3-space generically consist of cuspidal edges, swallowtails and cuspidal cross caps. The same result holds for spacelike mean curvature one surfaces in de Sitter 3-space. To prove these, we shall give a simple criterion for a given singular point on a surface to be a cuspidal cross cap.
Cite
@article{arxiv.math/0510366,
title = {Singularities of Maximal Surfaces},
author = {Shoichi Fujimori and Kentaro Saji and Masaaki Umehara and Kotaro Yamada},
journal= {arXiv preprint arXiv:math/0510366},
year = {2011}
}
Comments
20 pages, 2 figures