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

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.

correct a mistake in previous version and be updated to final accepted version