Simplices of maximal volume in hyperbolic n-space. (English) Zbl 0493.51016


51M10 Hyperbolic and elliptic geometries (general) and generalizations
51M20 Polyhedra and polytopes; regular figures, division of spaces
51M25 Length, area and volume in real or complex geometry
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[1] Klein, F.,Vorlesungen über nicht-euklidische Geometrie. Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, vol. 26, Springer Verlag, Berlin 1928. · JFM 54.0593.01
[2] Lobatcheffsky, N. J.,Collection compléte des oeuvres géométriques de N. J. Lobatcheffsky. Kazan 1886.
[3] Milnor, J. W.,Computation of volume. Lecture at Princeton University. See section 7 of [6]. · Zbl 0595.58028
[4] Milnor, J. W., Private communication.
[5] Mostow, G. D.,Strong rigidity of locally symmetric spaces. Ann. of Math. Studies, vol. 78, Princeton University Press, Princeton 1973. · Zbl 0265.53039
[6] Thurston, W. P.,The Geometry and Topology of 3-manifolds. Lecture notes from Princeton University 1977/78.
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