On simple ideal hyperbolic Coxeter polytopes
度量几何
2019-10-30 v2 群论
摘要
A polytope in the hyperbolic space \H^n is called an {\it ideal polytope} if all its vertices belong to the boundary of \H^n. We prove that no simple ideal Coxeter polytope exist in \H^n for .
引用
@article{arxiv.math/0502413,
title = {On simple ideal hyperbolic Coxeter polytopes},
author = {Anna Felikson and Pavel Tumarkin},
journal= {arXiv preprint arXiv:math/0502413},
year = {2019}
}
备注
v2: the paper is slightly reorganized; many typos and some errors corrected. 15 pages, to appear in Izv. Math