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arXiv · 1710.01935

Boundary structure of convex sets in the hyperbolic space

Giona Veronelli
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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.

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Giona Veronelli. 2017-10-05. Boundary structure of convex sets in the hyperbolic space. https://doi.org/10.1515/agms-2018-0008

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