Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction
We introduce and begin a systematic study of sublinearly contracting projections.<br/> 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.<b...
| Main Authors: | , , , |
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| Format: | Journal article |
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Documenta Mathematica
2017
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| _version_ | 1826269730483208192 |
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| author | Arzhantseva, G Cashen, C Gruber, D Hume, D |
| author_facet | Arzhantseva, G Cashen, C Gruber, D Hume, D |
| author_sort | Arzhantseva, G |
| collection | OXFORD |
| description | We introduce and begin a systematic study of sublinearly contracting projections.<br/> 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.<br/> We give a further characterization of sublinearly contracting projections in terms of projections of geodesic segments. |
| first_indexed | 2024-03-06T21:29:41Z |
| format | Journal article |
| id | oxford-uuid:44419b2f-ff77-4972-8dae-dd762e9ccc06 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:29:41Z |
| publishDate | 2017 |
| publisher | Documenta Mathematica |
| record_format | dspace |
| spelling | oxford-uuid:44419b2f-ff77-4972-8dae-dd762e9ccc062022-03-26T15:00:38ZCharacterizations of Morse quasi-geodesics via superlinear divergence and sublinear contractionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:44419b2f-ff77-4972-8dae-dd762e9ccc06Symplectic Elements at OxfordDocumenta Mathematica2017Arzhantseva, GCashen, CGruber, DHume, DWe introduce and begin a systematic study of sublinearly contracting projections.<br/> 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.<br/> We give a further characterization of sublinearly contracting projections in terms of projections of geodesic segments. |
| spellingShingle | Arzhantseva, G Cashen, C Gruber, D Hume, D Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction |
| title | Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction |
| title_full | Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction |
| title_fullStr | Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction |
| title_full_unstemmed | Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction |
| title_short | Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction |
| title_sort | characterizations of morse quasi geodesics via superlinear divergence and sublinear contraction |
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