Coxeter polytope;
reflection group;
hyperbolic geometry;
Gale diagram;
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摘要:
In this paper, we classify all the hyperbolic noncompact Coxeter polytopes of finite volume whose combinatorial type is either that of a pyramid over a product of two simplices or a product of two simplices of dimension greater than one. Combined with the results of Kaplinskaja (1974) and Esselmann (1996), this completes the classification of hyperbolic Coxeter N-polytopes of finite volume with n+2 facets.
机构:
Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R ChinaFudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Ma, Jiming
Zheng, Fangting
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机构:
Xian Jiaotong Liverpool Univ, Sch Math & Phys, Dept Pure Math, Suzhou 200433, Peoples R ChinaFudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China