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

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The discussion centers on identifying the specific "Gauss embedding theorem" referenced in a video talk, particularly at minute 14. Participants note that it appears to relate to differential geometry but struggle to find a clear definition or source. The mention of Nash embedding theorems suggests a possible connection, although it remains uncertain. The inquiry highlights a gap in available information regarding the theorem's details. Clarification on this topic is sought to enhance understanding of its implications in the field.
The Tortoise-Man
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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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The Tortoise-Man said:
Any ideas?
Nash embedding theorems?
 

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