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arXiv · 2409.00440

$C^{1,1-\epsilon}$ Isometric embeddings

Ángel D. Martínez
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Abstract

In this paper we use the convex integration technique enhanced by an extra iteration originally due to K\"all\'en and revisited by Kr\"oner to provide a local $h$-principle for isometric embeddings in the class $C^{1,1-\epsilon}$ for $n$-dimensional manifolds in codimension $\frac{1}{2}n(n+1)$.

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Ángel D. Martínez. 2024-08-31. $C^{1,1-\epsilon}$ Isometric embeddings. https://arxiv.org/abs/2409.00440

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