Value distribution of the hyperbolic Gauss maps for flat fronts in hyperbolic three-space

Abstract

We give an effective estimate for the totally ramified value number of the hyperbolic Gauss maps of complete flat fronts in the hyperbolic three-space. As a corollary, we give the upper bound of the number of exceptional values of them for some topological cases. Moreover, we obtain some new examples for this class.

14 pages, to appear in Houston Journal of Mathematics

References in corpus (1)

• Ramification estimates for the hyperbolic Gauss map

Cited by in corpus (2)

• A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space
• Value distribution of the Gauss map of improper affine spheres