Quasi-hyperbolic planes in hyperbolic groups
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- by Mario Bonk and Bruce Kleiner PDF
- Proc. Amer. Math. Soc. 133 (2005), 2491-2494 Request permission
Abstract:
The hyperbolic plane $\mathbb {H}^2$ admits a quasi-isometric embedding into every hyperbolic group which is not virtually free.References
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Additional Information
- Mario Bonk
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
- MR Author ID: 39235
- Email: mbonk@umich.edu
- Bruce Kleiner
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
- Email: bkleiner@umich.edu
- Received by editor(s): January 21, 2003
- Published electronically: April 12, 2005
- Additional Notes: The first author was supported by NSF grant DMS-0200566.
The second author was supported by NSF grants DMS-9972047 and DMS-0204506. - Communicated by: Ronald A. Fintushel
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 2491-2494
- MSC (2000): Primary 20F67
- DOI: https://doi.org/10.1090/S0002-9939-05-07564-7
- MathSciNet review: 2146190