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arXiv · 1806.07335

$C^{1,\alpha}$ isometric extensions

Wentao Cao·László Székelyhidi Jr
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Abstract

In this paper we consider the Cauchy problem for isometric immersions. More precisely, given a smooth isometric immersion of a codimension one submanifold we construct $C^{1,\alpha}$ isometric extensions for any $\alpha<\frac{1}{n(n+1)+1}$ via the method of convex integration.

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Wentao Cao, László Székelyhidi Jr. 2018-06-19. $C^{1,\alpha}$ isometric extensions. https://arxiv.org/abs/1806.07335

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