Möbius and sub-Möbius structures
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- by
S. Buyalo
Translated by: the author - St. Petersburg Math. J. 28 (2017), 555-568
- DOI: https://doi.org/10.1090/spmj/1463
- Published electronically: July 25, 2017
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Abstract:
The notion of a sub-Möbius structure is introduced, and necessary and sufficient conditions are found under which a sub-Möbius structure is a Möbius structure. It is shown that on the boundary at infinity $\partial _{\infty } Y$ of every Gromov hyperbolic space $Y$ there is a canonical sub-Möbius structure invariant under the isometries of $Y$ and such that the sub-Möbius topology on $\partial _{\infty } Y$ coincides with the standard one.References
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Bibliographic Information
- S. Buyalo
- Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, 27 Fontanka, St. Petersburg 191023, Russia
- Email: sbuyalo@pdmi.ras.ru
- Received by editor(s): August 5, 2015
- Published electronically: July 25, 2017
- Additional Notes: Supported by RFBR (grant no. 14-01-00062)
- © Copyright 2017 American Mathematical Society
- Journal: St. Petersburg Math. J. 28 (2017), 555-568
- MSC (2010): Primary 53C23
- DOI: https://doi.org/10.1090/spmj/1463
- MathSciNet review: 3637585