Geometric angle structures on triangulated surfaces

Details Geometric angle structures on triangulated surfaces Geometric angle structures on triangulated surfaces

2006-01-20

arxiv.org/abs/math/0601486v1

Proc. Amer. Math. Soc. 135 (2007), 3005-3011

Mathematics

Geometric Topology

10 pages

Scientific paper

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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