Boundary structure of convex sets in the hyperbolic space

DOI10.1007/s00605-018-1194-7zbMath1423.52013arXiv1710.01935OpenAlexW2963691791WikidataQ129703833 ScholiaQ129703833MaRDI QIDQ667566

Giona Veronelli

Publication date: 28 February 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01935

zbMATH Keywords

hyperbolic spacecurvature measuresGauss-Codazzi equationboundary of convex set

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Spherical and hyperbolic convexity (52A55) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (2)

Prescribing the Gauss curvature of convex bodies in hyperbolic space ⋮ Prescribed curvature measure problem in hyperbolic space

Uses Software

• Cadabra

Cites Work

• Hyperbolization of cusps with convex boundary
• Hypersurfaces of constant curvature in hyperbolic space. I
• The geometry of Nielsen's hull for a Kleinian group in space and quasi- conformal mappings
• Curvature measures and Steiner formulae in space forms
• The Gaussian curvature of Alexandrov surfaces
• Conformal geometry of discrete groups and manifolds
• Scalar curvature via local extent
• On the regularity of Alexandrov surfaces with curvature bounded below
• Riemann normal coordinate expansions using Cadabra
• Steiner’s formulae on a general 𝑆ⁿ⁺¹
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundary structure of convex sets in the hyperbolic space