A discrete curvature on a planar graph
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0412094,
title = {A discrete curvature on a planar graph},
author = {M. Lorente},
journal= {arXiv preprint arXiv:gr-qc/0412094},
year = {2007}
}
Comments
LaTeX, 14 pages. Dedicated to Alberto Galindo on the occasion of his 70th birthday. In "Encuentros de Fisica Fundamental Alberto Galindo" (Ed. Departamento de Fisica Teorica I de la Universidad Complutense de Madrid) November 2004