$C^{1,\alpha}$ isometric extensions
Differential Geometry
2018-06-20 v1 Analysis of PDEs
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 isometric extensions for any via the method of convex integration.
Keywords
Cite
@article{arxiv.1806.07335,
title = {$C^{1,\alpha}$ isometric extensions},
author = {Wentao Cao and László Székelyhidi},
journal= {arXiv preprint arXiv:1806.07335},
year = {2018}
}
Comments
25 pages