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arxiv: math/0601486 · v1 · pith:YU4AQN2Vnew · submitted 2006-01-20 · 🧮 math.GT

Geometric angle structures on triangulated surfaces

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keywords functionangleinvariantcharacterizeedgehavingstructurethere
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In this paper we characterize a function defined on the set of edges of a triangulated surface such that there is a spherical angle structure having the function as the edge invariant (or Delaunay invariant). We also characterize a function such that there is a hyperbolic angle structure having the function as the edge invariant.

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