Triangulating metric surfaces

Paul Creutz; Matthew Romney

doi:10.1112/plms.12486

Triangulating metric surfaces

Paul Creutz, Matthew Romney

Department of Mathematical Sciences

Max Planck Institute for Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1426-1451
Number of pages	26
Journal	Proceedings of the London Mathematical Society
Volume	125
Issue number	6
DOIs	https://doi.org/10.1112/plms.12486
State	Published - Dec 2022

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title = "Triangulating metric surfaces",

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.",

author = "Paul Creutz and Matthew Romney",

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Triangulating metric surfaces

Abstract

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