Sublinearly Morse Geodesics in CAT(0) Spaces: Lower Divergence and Hyperplane Characterization
Group Theory
2022-09-07 v2
Abstract
We introduce the notion of k-lower divergence for geodesic rays in CAT(0) spaces. Building on the work of Charney and Sultan we give various characterizations of k-contracting geodesic rays using k-lower divergence and k-slim triangles. We also characterize k-contracting geodesic rays in CAT(0) cube complexes using sequences of well-separated hyperplanes.
Keywords
Cite
@article{arxiv.2008.09199,
title = {Sublinearly Morse Geodesics in CAT(0) Spaces: Lower Divergence and Hyperplane Characterization},
author = {Devin Murray and Yulan Qing and Abdul Zalloum},
journal= {arXiv preprint arXiv:2008.09199},
year = {2022}
}
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30 pages