##  [Nash Embedding Theorem](/nash-embedding-theorem) 

  ##  [Nash Embedding Theorem](https://puremath.quantumdictionary.io/nash-embedding-theorem-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A theorem asserting that every smooth Riemannian manifold can be isometrically embedded into some Euclidean space R^N of sufficiently high dimension, so its metric is realized as the induced metric from Euclidean space.