2 papers
math.DG2022
The Local Isometric Embedding of Two-Metrics of Low Differentiability in Euclidean Three Space
Edgar Kann
We prove that the isometric embedding of any metric of differentiability class C1 in E3 exists. We use simplified notation for the given metric, namely geodesic parameters, and lev…
math.DG2017
A Proof of the Isometric Embedding Theorem in Three Dimensional Euclidean Space
Edgar Kann
A proof of the isometric embedding of a given two-metric in E^3 of class C^1. The method uses the theory of first order partial differential equations. The curvature of the metric…