Hyperbolic reflection groups

CONTENTSIntroductionChapter I. Acute-angled polytopes in Lobachevskii spaces ??1. The Gram matrix of a convex polytope ??2. The existence theorem for an acute-angled polytope with given Gram matrix ??3. Determination of the combinatorial structure of an acute-angled polytope from its Gram matrix ??4. Criteria for an acute-angled polytope to be bounded and to have finite volumeChapter II. Crystallographic reflection groups in Lobachevskii spaces ??5. The language of Coxeter schemes. Construction of crystallographic reflection groups ??6. The non-existence of discrete reflection groups with bounded fundamental polytope in higher-dimensional Lobachevskii spacesReferences