DIRICHLET POLYHEDRA FOR CYCLIC GROUPS IN COMPLEX HYPERBOLIC SPACE

被引：16

作者：

PHILLIPS, MB ^{[1
]}

机构：

[1] UNIV RICHMOND,DEPT MATH & COMP SCI,RICHMOND,VA 23173

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 115卷 / 01期

关键词：

DISCRETE GROUPS; FUNDAMENTAL DOMAIN; COMPLEX HYPERBOLIC SPACE;

D O I：

10.2307/2159589

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the Dirichlet fundamental polyhedron for a cyclic group generated by a unipotent or hyperbolic element-gamma acting on complex hyperbolic n-space centered at an arbitrary point omega is bounded by the two hypersurfaces equidistant from the pairs omega, gamma-omega and omega, gamma-1 omega respectively. The proof relies on a convexity property of the distance to an isometric flow containing gamma .

引用

页码：221 / 228

页数：8

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