Uniqueness of homogeneous CAT(0) polygonal complexes

被引：2

作者：

Lazarovich, Nir ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

GEOMETRIAE DEDICATA | 2014年 / 168卷 / 01期

关键词：

Polygonal complexes; Geometric group theory; Non-positive curvature; Coxeter groups; HYPERBOLIC BUILDINGS;

D O I：

10.1007/s10711-013-9837-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a combinatorial condition on a finite connected graph, , for which there exists a unique CAT(0) polygonal complex such that the link at each vertex is . Under the further assumption that the polygons have an even number of sides we prove that this condition is also necessary, and that there are either one or a continuum of non-isomorphic such complexes.

引用

页码：397 / 414

页数：18

共 28 条

[21] Two-dimensional Artin groups with CAT(0) dimension three
Brady, N
Crisp, J
GEOMETRIAE DEDICATA, 2002, 94 (01) : 185 - 214
[22] Two-Dimensional Artin Groups with CAT(0) Dimension Three
Noel Brady
John Crisp
Geometriae Dedicata, 2002, 94 : 185 - 214
[23] Counting closed geodesics in a compact rank-one locally CAT(0) space
Ricks, Russell
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2022, 42 (03) : 1220 - 1251
[24] THE UNIQUE MEASURE OF MAXIMAL ENTROPY FOR A COMPACT RANK ONE LOCALLY CAT(0) SPACE
Ricks, Russell
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 41 (02) : 507 - 523
[25] On splitting theorems for CAT(0) spaces and compact geodesic spaces of non-positive curvature
Hosaka, Tetsuya
MATHEMATISCHE ZEITSCHRIFT, 2012, 272 (3-4) : 1037 - 1050
[26] Erratic behavior of CAT(0) geodesics under G-equivariant quasi-isometries
Staley, Dan
GEOMETRIAE DEDICATA, 2012, 159 (01) : 169 - 184
[27] Erratic behavior of CAT(0) geodesics under G-equivariant quasi-isometries
Dan Staley
Geometriae Dedicata, 2012, 159 : 169 - 184
[28] On splitting theorems for CAT(0) spaces and compact geodesic spaces of non-positive curvature
Tetsuya Hosaka
Mathematische Zeitschrift, 2012, 272 : 1037 - 1050

← 1 2 3 →