A note on closed isometric embeddings

TL;DR

This paper discusses a slight extension of Nash's embedding theorem specifically for complete manifolds, providing insights into isometric embeddings in this context.

Contribution

It introduces a minor extension to Nash's theorem tailored for complete manifolds, enhancing understanding of isometric embeddings.

Findings

Extension of Nash's embedding theorem for complete manifolds

Insights into closed isometric embeddings

Potential implications for geometric analysis

Abstract

This note is about a little extension of Nash's embedding theorem in the case of complete manifolds.