arXiv 0907.35022009-07-20math.MGmath.DG

Rolling of Coxeter polyhedra along mirrors

Dmitri V. Alekseevsky, Peter W. Michor, Yurii A. Neretin

备注：: 20pages, 15 figures
发表信息：: Geometric Methods in Physics, XXXI Workshop Białowieża, Poland, Birkhauser (2013), 67-86
DOI：: 10.1007/978-3-0348-0645-9_6

英文摘要：

The topic of the paper are developments of $n$-dimensional Coxeter polyhedra. We show that the surface of such polyhedron admits a canonical cutting such that each piece can be covered by a Coxeter $(n-1)$-dimensional domain.

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