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The Weyl Problem With Nonnegative Gauss Curvature In Hyperbolic Space
Published online by Cambridge University Press: 20 November 2018
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.
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- Copyright © Canadian Mathematical Society 2015
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