Isometric embedding with nonnegative Gauss curvature under the graph setting
Analysis of PDEs
2018-06-19 v1
Abstract
We study the regularity of the isometric embedding X: (B(O,r),g) -> (R3, gcan) of a 2-ball with nonnegatively curved C4 metric into R3. Under the assumption that X can be expressed in the graph form, we show X is C2,1 near P, which is optimal by Iaia's example.
Keywords
Cite
@article{arxiv.1806.06189,
title = {Isometric embedding with nonnegative Gauss curvature under the graph setting},
author = {Xumin Jiang},
journal= {arXiv preprint arXiv:1806.06189},
year = {2018}
}