Extends Cartan's first and second structural equations and the Gauss equation to low Sobolev regularity for isometric embeddings, yielding rigidity and convexity theorems when K_g ≥ 0.
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Cartan's and Gauss's equations and rigidity theorems for isometric embeddings in low Sobolev regularity
Extends Cartan's first and second structural equations and the Gauss equation to low Sobolev regularity for isometric embeddings, yielding rigidity and convexity theorems when K_g ≥ 0.