Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction
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.
2010 Mathematics Subject Classification: Primary: 20F65; Secondary: 20F67.
Keywords and Phrases: Morse quasi-geodesic, contracting projection, superlinear divergence, geodesic image theorem.
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