Ramification estimates for the hyperbolic Gauss map
Differential Geometry
2010-01-17 v4 Complex Variables
Abstract
We give the best possible upper bound on the number of exceptional values and the totally ramified value number of the hyperbolic Gauss map for pseudo-algebraic constant mean curvature one surfaces in the hyperbolic three-space and some partial results on the Osserman problem for algebraic case. Moreover, we study the value distribution of the hyperbolic Gauss map for complete constant mean curvature one faces in de Sitter three-space.
Cite
@article{arxiv.0804.0470,
title = {Ramification estimates for the hyperbolic Gauss map},
author = {Yu Kawakami},
journal= {arXiv preprint arXiv:0804.0470},
year = {2010}
}
Comments
16 pages, corrected some typos. OCAMI Preprint Series 08-1, to appear in Osaka Journal of Mathematics