Geodesic
Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction
Documenta mathematica, Tome 22 (2017), pp. 1193-1224
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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.
DOI : 10.4171/dm/592
Classification : 20F65, 20F67
Mots-clés : Morse quasi-geodesic, contracting projection, superlinear divergence, geodesic image theorem 
@article{10_4171_dm_592,
     author = {Goulnara N. Arzhantseva and Christopher H. Cashen and Dominik Gruber and David Hume},
     title = {Characterizations of {Morse} {Quasi-Geodesics} via {Superlinear} {Divergence} and {Sublinear} {Contraction}},
     journal = {Documenta mathematica},
     pages = {1193--1224},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/592},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/592/}
}
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Goulnara N. Arzhantseva; Christopher H. Cashen; Dominik Gruber; David Hume. Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction. Documenta mathematica, Tome 22 (2017), pp. 1193-1224. doi: 10.4171/dm/592

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