The Weyl problem with nonnegative Gauss curvature in hyperbolic space
Differential Geometry
2012-09-25 v2
Abstract
In this paper, we discuss the isometric embedding problem in hyperbolic space with nonnegative extrinsic curvature. We prove a priori bounds for the trace of the second fundamental form H and extend the result to n-dimensions. We also obtain an estimate for the gradient of the smaller principal curvature in 2 dimensions.
Cite
@article{arxiv.1209.4665,
title = {The Weyl problem with nonnegative Gauss curvature in hyperbolic space},
author = {Jui-En Chang and Ling Xiao},
journal= {arXiv preprint arXiv:1209.4665},
year = {2012}
}
Comments
27 pages