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math.DG2025
A quantitative approach to the regularity of a Riemannian surface
Matan Eilat
We introduce two definitions with the purpose of quantifying the concept of a surface for . The intrinsic definition is given in terms of the -Hölder nor…
math.DG2025
The bi-Lipschitz constant of an isothermal coordinate chart
Matan Eilat
Let be a -smooth Riemannian surface. A classical theorem in differential geometry states that the Gauss curvature function vanishes everywhere if…