English

Maximal surfaces with singularities in Minkowski space

Differential Geometry 2007-05-23 v7

Abstract

We shall investigate maximal surfaces in Minkowski 3-space with singularities. Although the plane is the only complete maximal surface without singular points, there are many other complete maximal surfaces with singularities and we show that they satisfy an Osserman-type inequality.

Keywords

Cite

@article{arxiv.math/0307309,
  title  = {Maximal surfaces with singularities in Minkowski space},
  author = {Masaaki Umehara and Kotaro Yamada},
  journal= {arXiv preprint arXiv:math/0307309},
  year   = {2007}
}

Comments

18 pages, 2 figures