Convex Hypersurfaces with Prescribed Scalar Curvature and Asymptotic Boundary in Hyperbolic Space
Differential Geometry
2020-12-08 v3
Abstract
The existence of a smooth complete strictly locally convex hypersurface with prescribed scalar curvature and asymptotic boundary at infinity in is proved under the assumption that there exists a strictly locally convex subsolution.
Keywords
Cite
@article{arxiv.1812.09554,
title = {Convex Hypersurfaces with Prescribed Scalar Curvature and Asymptotic Boundary in Hyperbolic Space},
author = {Zhenan Sui},
journal= {arXiv preprint arXiv:1812.09554},
year = {2020}
}
Comments
correct a mistake in previous version and be updated to final accepted version