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Research Papers
S̆varc–Milnor quasi-isometries for Fuchsian groups
G. A. Noskov The Sobolev Institute of Mathematics, Pevtsova 13, 644099 Omsk, Russia
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.
Received: 19.02.2016
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
Linking options:
https://www.mathnet.ru/eng/aa1612 https://www.mathnet.ru/eng/aa/v30/i4/p179
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Statistics & downloads: |
Abstract page: | 170 | Full-text PDF : | 32 | References: | 28 | First page: | 2 |
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