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

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

2009-08-10

arxiv.org/abs/0908.1307v3

Mathematics

Differential Geometry

14 pages, to appear in Houston Journal of Mathematics

Scientific paper

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.

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