Triangulating metric surfaces
Metric Geometry
2022-06-13 v2 Differential Geometry
Abstract
We prove that any length metric space homeomorphic to a surface may be decomposed into non-overlapping convex triangles of arbitrarily small diameter. This generalizes a previous result of Alexandrov--Zalgaller for surfaces of bounded curvature.
Cite
@article{arxiv.2102.06667,
title = {Triangulating metric surfaces},
author = {Paul Creutz and Matthew Romney},
journal= {arXiv preprint arXiv:2102.06667},
year = {2022}
}
Comments
24 pages, 10 figures