Triangulating metric surfaces

Paul Creutz, Matthew Romney

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageEnglish
Pages (from-to)1426-1451
Number of pages26
JournalProceedings of the London Mathematical Society
Volume125
Issue number6
DOIs
StatePublished - Dec 2022

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