The Weyl Problem With Nonnegative Gauss Curvature In Hyperbolic Space
Printed: Feb 2015
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.
53A99 - None of the above, but in this section
5J15 - unknown classification 5J15
58J05 - Elliptic equations on manifolds, general theory [See also 35-XX]