A $2$-complex with contracting non-positive immersions and positive maximal irreducible curvature
Year: 2024
Type: article
Abstract: We prove that the 2 -complex associated to the presentation \langle a,b \mid b,bab^{-1}a^{-2}\rangle has contracting non-positive immersions and positive maximal irreducible curvature. This example shows that the contracting non-positive immersions property is not equivalent to the notion of non-positive irreducible curvature, answering a question raised by H. Wilton.
Source: Groups Geometry and Dynamics
DOI: 10.4171/ggd/848
Institution: Universidad de Buenos Aires
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404992667