Complete Flat Surfaces with two Isolated Singularities in Hyperbolic 3-space

Details Complete Flat Surfaces with two Isolated Singularities in Hyperbolic 3-space Complete Flat Surfaces with two Isolated Singularities in Hyperbolic 3-space

2009-05-14

arxiv.org/abs/0905.2371v1

Mathematics

Differential Geometry

16 pages, 4 figures

Scientific paper

We construct examples of flat surfaces in $\mathbb{H}^3$ which are graphs
over a two-punctured horosphere and classify complete embedded flat surfaces in
$\mathbb{H}^3$ with only one end and at most two isolated singularities.

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