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

2018/12/22 by Sui, Zhenan
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.09554

Abstract

The existence of a smooth complete strictly locally convex hypersurface with prescribed scalar curvature and asymptotic boundary at infinity in ℍ³ is proved under the assumption that there exists a strictly locally convex subsolution.

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