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arXiv · 2008.09199

Sublinearly Morse Geodesics in CAT(0) Spaces: Lower Divergence and Hyperplane Characterization

Devin Murray·Yulan Qing·Abdul Zalloum
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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.

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Devin Murray, Yulan Qing, Abdul Zalloum. 2020-08-20. Sublinearly Morse Geodesics in CAT(0) Spaces: Lower Divergence and Hyperplane Characterization. https://doi.org/10.2140/agt.2022.22.1337

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