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arxiv: 0905.2371 · v1 · submitted 2009-05-14 · 🧮 math.DG

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

classification 🧮 math.DG
keywords flatsurfacescompleteisolatedmathbbsingularitiesclassifyconstruct
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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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