Triangulating metric surfaces

12 Feb 2021 Paul Creutz Matthew Romney

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...

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Categories


  • METRIC GEOMETRY
  • DIFFERENTIAL GEOMETRY
  • PRIMARY: 53C45, SECONDARY: 52A10, 53A05