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

Voir la notice de l'article provenant de la source Cambridge University Press

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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     pages = {107--131},
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     doi = {10.4153/CJM-2013-046-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-046-7/}
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