A discrete curvature on a planar graph

Details A discrete curvature on a planar graph A discrete curvature on a planar graph

2004-12-20

arxiv.org/abs/gr-qc/0412094v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 14 pages. Dedicated to Alberto Galindo on the occasion of his 70th birthday. In "Encuentros de Fisica Fundamental Alber

Scientific paper

Given a planar graph derived from a spherical, euclidean or hyperbolic
tessellation, one can define a discrete curvature by combinatorial properties,
which after embedding the graph in a compact 2d-manifold, becomes the Gaussian
curvature.

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