62 citations · 62 across the 3 of their papers we have counts for
3 papers
math.MG2005★ 62 cited
Geometric triangulations and discrete Laplacians on manifolds
David Glickenstein
This paper uses the technology of weighted and regular triangulations to study discrete versions of the Laplacian on piecewise Euclidean manifolds. Regular triangulations are studi…
math.MG2005
A combinatorial Yamabe flow in three dimensions
David Glickenstein
A combinatorial version of Yamabe flow is presented based on Euclidean triangulations coming from sphere packings. The evolution of curvature is then derived and shown to satisfy a…
math.MG2002
A Maximum Principle for Combinatorial Yamabe Flow
David Glickenstein
This article studies a discrete geometric structure on triangulated manifolds and an associated curvature flow (combinatorial Yamabe flow). The associated evolution of curvature ap…