Geodesic
Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction
Documenta mathematica, Tome 22 (2017), pp. 1193-1224.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 20F65, 20F67
Keywords: Morse quasi-geodesic, contracting projection, superlinear divergence, geodesic image theorem 
@article{DOCMA_2017__22__a17,
     author = {Arzhantseva, Goulnara N. and Cashen, Christopher H. and Gruber, Dominik and Hume, David},
     title = {Characterizations of {Morse} {Quasi-Geodesics} via {Superlinear} {Divergence} and {Sublinear} {Contraction}},
     journal = {Documenta mathematica},
     pages = {1193--1224},
     publisher = {mathdoc},
     volume = {22},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a17/}
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Arzhantseva, Goulnara N.; Cashen, Christopher H.; Gruber, Dominik; Hume, David. Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction. Documenta mathematica, Tome 22 (2017), pp. 1193-1224. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a17/