Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction
Goulnara N. Arzhantseva
Christopher H. Cashen
Dominik Gruber
David Hume
![Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-dm-volume-22.png&w=3840&q=90)
Abstract
We introduce and begin a systematic study of sublinearly contracting projections. We give two characterizations of Morse quasi-geodesics in an arbitrary geodesic metric space. One is that they are sublinearly contracting; the other is that they have completely superlinear divergence. We give a further characterization of sublinearly contracting projections in terms of projections of geodesic segments.
Cite this article
Goulnara N. Arzhantseva, Christopher H. Cashen, Dominik Gruber, David Hume, Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction. Doc. Math. 22 (2017), pp. 1193–1224
DOI 10.4171/DM/592