Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction
By Goulnara Arzhantseva, Christopher H. Cashen, Dominik Gruber, David Hume. Documenta Mathematica, 2016
62 citations recorded by the source corpus.
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.
Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9b4ed4909c63928175eb456324a00686c8a5b628
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In Computational Mechanics
In Computer Graphics and Computer-Aided Design
In Geometry and Topology
- M. Bestvina
- Arthur Bartels
- Hung Cong Tran
- W. Lück
- Denis V. Osin
- Christian Wegner
- H. Reich
- Alessandro Sisto
Citations in the corpus
- On strongly quasiconvex subgroups (2017, methodology): “s using lower relative divergence would produce a rich source of new quasi-isomerty invariants. Theorem 1.6 is a generalization of the work of Charney-Sultan [CS15] and Arzhantseva-Cashen-Gruber-Hume [ACGH17] where they characterize Morse quasi-geodesics as those which have completely super linear l”
- The Farrell–Jones Conjecture for mapping class groups (2016, background): “c′ is a geodesic line contained in some neighborhood BM(c) of c. Then c′ is contained in the R-neighborhood of c, where R is a function of the contracting constant D. For the first statement, see e.g. [3]. The idea is that if c′ contains a long segment outside a big neighborhood of c, then covering t”