Boundary structure of convex sets in the hyperbolic space
Differential Geometry
2022-12-19 v1 Metric Geometry
Abstract
We prove some results concerning the boundary of a convex set in \H^n. This includes the convergence of curvature measures under Hausdorff convergence of the sets, the study of normal points, and, for convex surfaces, a generalized Gauss equation and some natural characterizations of the regular part of the Gaussian curvature measure.
Keywords
Cite
@article{arxiv.1710.01935,
title = {Boundary structure of convex sets in the hyperbolic space},
author = {Giona Veronelli},
journal= {arXiv preprint arXiv:1710.01935},
year = {2022}
}
Comments
16 pages