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Convex Hypersurfaces with Prescribed Scalar Curvature and Asymptotic Boundary in Hyperbolic Space

Published 22 Dec 2018 in math.DG | (1812.09554v3)

Abstract: The existence of a smooth complete strictly locally convex hypersurface with prescribed scalar curvature and asymptotic boundary at infinity in $\mathbb{H}{3}$ is proved under the assumption that there exists a strictly locally convex subsolution.

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