Ricci flow of discrete surfaces of revolution, and relation to constant Gaussian curvature

Abstract

Giving explicit parametrizations of discrete constant Gaussian curvature surfaces of revolution that are defined from an integrable systems approach, we study Ricci flow for discrete surfaces, and see how discrete surfaces of revolution have a geometric realization for the Ricci flow that approaches the constant Gaussian curvature surfaces we have parametrized.

arXiv comment19 pages, 10 figures