Nonpositively curved, piecewise Euclidean structures on hyperbolic manifolds

DOI10.1307/mmj/1029005630zbMath0879.53031OpenAlexW2051726905MaRDI QIDQ1363633

Ruth M. Charney, Gábor Moussong, Michael W. Davis

Publication date: 17 December 1997

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029005630

zbMATH Keywords

hyperbolic manifoldAlexandrov spaceVoronoi diagramnegative curvatureDirichlet regionpiecewise Euclidean

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (4)

Fuchsian convex bodies: basics of Brunn-Minkowski theory ⋮ The Delaunay tessellation in hyperbolic space ⋮ Complex surfaces with CAT(0) metrics ⋮ Piecewise Euclidean structures and Eberlein's rigidity theorem in the singular case

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