Geodesic
The Weyl Problem With Nonnegative Gauss Curvature In Hyperbolic Space
Canadian journal of mathematics, Tome 67 (2015) no. 1, pp. 107-131

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DOI

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.
DOI : 10.4153/CJM-2013-046-7
Mots-clés : 53A99, 35J15, 58J05 
Chang, Jui-En; Xiao, Ling. The Weyl Problem With Nonnegative Gauss Curvature In Hyperbolic Space. Canadian journal of mathematics, Tome 67 (2015) no. 1, pp. 107-131. doi: 10.4153/CJM-2013-046-7
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     author = {Chang, Jui-En and Xiao, Ling},
     title = {The {Weyl} {Problem} {With} {Nonnegative} {Gauss} {Curvature} {In} {Hyperbolic} {Space}},
     journal = {Canadian journal of mathematics},
     pages = {107--131},
     year = {2015},
     volume = {67},
     number = {1},
     doi = {10.4153/CJM-2013-046-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-046-7/}
}
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