A combinatorial negative curvature condition implying Gromov hyperbolicity

Abstract

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

arXiv comment19 pages, 17 figures

References in corpus (2)

• A combinatorial non-positive curvature I: weak systolicity
• On asymptotically hereditarily aspherical groups

Cited by in corpus (4)

• Lucas sequences in t-uniform simplicial complexes
• Classifying spaces for families of subgroups of 8-located groups
• Quadratic isoperimetric inequality for 7-located simplicial complexes
• Recurrence relations in (s,t)-uniform simplicial complexes