$C^{1,1-ε}$ Isometric embeddings
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916377134104576 |
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| author | Martínez, Ángel D. |
| author_facet | Martínez, Ángel D. |
| contents | In this paper we use the convex integration technique enhanced by an extra iteration originally due to Källén and revisited by Kröner to provide a local $h$-principle for isometric embeddings in the class $C^{1,1-ε}$ for $n$-dimensional manifolds in codimension $\frac{1}{2}n(n+1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00440 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $C^{1,1-ε}$ Isometric embeddings Martínez, Ángel D. Differential Geometry Analysis of PDEs In this paper we use the convex integration technique enhanced by an extra iteration originally due to Källén and revisited by Kröner to provide a local $h$-principle for isometric embeddings in the class $C^{1,1-ε}$ for $n$-dimensional manifolds in codimension $\frac{1}{2}n(n+1)$. |
| title | $C^{1,1-ε}$ Isometric embeddings |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2409.00440 |