{ "id": "1712.05852", "version": "v1", "published": "2017-12-15T21:47:21.000Z", "updated": "2017-12-15T21:47:21.000Z", "title": "A Proof of the Isometric Embedding Theorem in Three Dimensional Euclidean Space", "authors": [ "Edgar Kann" ], "categories": [ "math.DG" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-12-15T21:47:21.000Z" } ], "analyses": { "keywords": [ "dimensional euclidean space", "isometric embedding theorem", "first order partial differential equations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }