Isometrische Einbettung von geschlossenen Riemannschen Mannigfaltigkeiten

TL;DR

This paper details G"unther's proof of the Isometric Embedding Theorem for Riemannian manifolds and extends the method to embed geometric flows like Ricci-flow into Euclidean space.

Contribution

It provides a detailed explanation of G"unther's proof and demonstrates how to embed geometric flows into Euclidean space using this approach.

Findings

G"unther's proof of the Isometric Embedding Theorem is thoroughly described.

The method is extended to embed geometric flows such as Ricci-flow.

Embedding of geometric flows into Euclidean space is shown to be feasible.

Abstract

In this work we give a detailed description of Matthias G\"unther's proof of the Isometric Embedding Theorem of Riemannian manifolds. Subsequently we will use this method to show that it is possible to construct an isometric embedding of a geometric flow, for instance the Ricci-flow, into some Euclidean space.