What Is the Gauss Embedding Theorem Mentioned in the Video Talk?

In summary, the Gauss Embedding Theorem states that any smooth Riemannian manifold can be isometrically embedded into a higher-dimensional Euclidean space. This means that the geometric properties of the manifold can be preserved while representing it in a more familiar setting, allowing for easier visualization and analysis. The theorem is significant in differential geometry and has applications in various fields, including physics and computer science.
  • #1
The Tortoise-Man
95
5
Does anybody know to which "Gauss embedding theorem" the speaker in this video talk at minute 14 (point 5. in the displayed notes) is refering too? Sounds to be a standard result in differential geometry, but after detailed googling I found nothing to which the speaker may refering too in the linked video. Any ideas?
 
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  • #2
The Tortoise-Man said:
Any ideas?
Nash embedding theorems?
 

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