3 papers
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.MG2025
Euclidean nets under isometric embeddings
Matan Eilat
Suppose that there exists a discrete subset of a complete, connected, -dimensional Riemannian manifold such that the Riemannian distances between points of correspon…
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…