Flat fronts in hyperbolic 3-space

Details Flat fronts in hyperbolic 3-space Flat fronts in hyperbolic 3-space

2003-01-21

arxiv.org/abs/math/0301224v3

Mathematics

Differential Geometry

22pages, 10 figures

Scientific paper

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.

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