Geometric angle structures on triangulated surfaces

Abstract

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.

10 pages

Cited by in corpus (3)

• Rigidity of Polyhedral Surfaces
• A note on circle patterns on surfaces
• Angle structures and normal surfaces