2 citations · 2 across the 4 of their papers we have counts for
4 papers
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 norm of…
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…
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…
Rigidity of Riemannian embeddings of discrete metric spaces
Matan Eilat, Bo'az Klartag
Let be a complete, connected Riemannian surface and suppose that is a discrete subset. What can we learn about from the knowledge of all distances i…