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- W2950980691 abstract "We obtain global extensions of the celebrated Nash-Kuiper theorem for $C^{1,theta}$ isometric immersions of compact manifolds with optimal Holder exponent. In particular for the Weyl problem of isometrically embedding a convex compact surface in 3-space, we show that the Nash-Kuiper non-rigidity prevails upto exponent $theta<1/5$. This extends previous results on embedding 2-discs as well as higher dimensional analogues." @default.
- W2950980691 created "2019-06-27" @default.
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- W2950980691 date "2019-06-20" @default.
- W2950980691 modified "2023-10-16" @default.
- W2950980691 title "Global Nash-Kuiper theorem for compact manifolds" @default.
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- W2950980691 doi "https://doi.org/10.48550/arxiv.1906.08608" @default.
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