Flat fronts in hyperbolic 3-space
Differential Geometry
2007-05-23 v3
Abstract
We shall investigate flat surfaces in hyperbolic 3-space with admissible singularities, called `flat fronts'. An Osserman-type inequality for complete flat fronts is shown. When equality holds in this inequality, we show that all the ends are embedded. Moreover, we shall give new examples for which equality holds.
Cite
@article{arxiv.math/0301224,
title = {Flat fronts in hyperbolic 3-space},
author = {Masatoshi Kokubu and Masaaki Umehara and Kotaro Yamada},
journal= {arXiv preprint arXiv:math/0301224},
year = {2007}
}
Comments
22pages, 10 figures