A combinatorial negative curvature condition implying Gromov\n hyperbolicity

2015/01/22 by Ioana‐Claudia Lazăr, Lazar, Ioana-Claudia · 4 citations
Mathematics · Computer Science · #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #Computational Geometry and Mesh Generation

paper · pdf · doi:10.48550/arxiv.1501.05487

Abstract

We explore a local combinatorial condition on a simplicial complex, called\n8-location. We show that 8-location and simple connectivity imply Gromov\nhyperbolicity. We mention some applications of such combinatorial negative\ncurvature condition.\n

Cited by

• Lucas sequences in t-uniform simplicial complexes
• Recurrence relations in (s,t)-uniform simplicial complexes
• Classifying spaces for families of subgroups of 8-located groups
• Minimal displacement set for CAT(0) cubical complexes

Related

• Combinatorial negative curvature and triangulations of three-manifolds
• Minimal disc diagrams of 5/9-simplicial complexes
• Sectional curvature of polygonal complexes with planar substructures
• A combination theorem for combinatorially non-positively curved\n complexes of hyperbolic groups
• Gromov hyperbolicity and a variation of the Gordian complex