English

A Proof of the Isometric Embedding Theorem in Three Dimensional Euclidean Space

Differential Geometry 2017-12-19 v1

Abstract

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 plays no role in the proof.

Keywords

Cite

@article{arxiv.1712.05852,
  title  = {A Proof of the Isometric Embedding Theorem in Three Dimensional Euclidean Space},
  author = {Edgar Kann},
  journal= {arXiv preprint arXiv:1712.05852},
  year   = {2017}
}