Compact hyperbolic Coxeter n-polytopes with n+3 facets
度量几何
2007-12-06 v4 群论
摘要
We use methods of combinatorics of polytopes together with geometrical and computational ones to obtain the complete list of compact hyperbolic Coxeter n-polytopes with n+3 facets, 3<n<8. Combined with results of Esselmann (1994), Andreev (1970) and Poincare (1882) this gives the classification of all compact hyperbolic Coxeter n-polytopes with n+3 facets.
关键词
引用
@article{arxiv.math/0406226,
title = {Compact hyperbolic Coxeter n-polytopes with n+3 facets},
author = {Pavel Tumarkin},
journal= {arXiv preprint arXiv:math/0406226},
year = {2007}
}
备注
v4: paper is rewritten. Complete proofs added, errors corrected. 36 pages, a lot of figures