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Algebra i Analiz, 2018, Volume 30, Issue 4, Pages 179–191 (Mi aa1612)  
Research Papers

S̆varc–Milnor quasi-isometries for Fuchsian groups

G. A. Noskov

The Sobolev Institute of Mathematics, Pevtsova 13, 644099 Omsk, Russia
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Abstract: It is proved that the S̆varc–Milnor quasi-isometries for cocompact Fuchsian groups are not almost-isometric. The proof relies on density properties of different kinds of spectra associated with the action.
Keywords: hyperbolic plane, Fuchsian group, quasi-isometry, almost-isometry.
Funding agency Grant number
Weizmann Institute of Science
Universität Bielefeld SFB 701
Russian Academy of Sciences - Federal Agency for Scientific Organizations I.1.1, project 0314-2016-0004
The research was supported by Weizmann Institute of Science, SFB 701 of Bielefeld University and by the program of fundamental scientific research of the SB RAS I.1.1, project № 0314-2016-0004.
Received: 19.02.2016
English version:
St. Petersburg Mathematical Journal, 2019, Volume 30, Issue 4, Pages 751–760
DOI: https://doi.org/10.1090/spmj/1568
Bibliographic databases:
Document Type: Article
MSC: 30F35, 30F40, 20H10
Language: English
Citation: G. A. Noskov, “S̆varc–Milnor quasi-isometries for Fuchsian groups”, Algebra i Analiz, 30:4 (2018), 179–191; St. Petersburg Math. J., 30:4 (2019), 751–760
Citation in format AMSBIB
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