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
Download PDF

This article is published open access.

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