Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Russian Mathematical Surveys, 2017, Volume 72, Issue 4, Pages 645–670
DOI: https://doi.org/10.1070/RM9785 (Mi rm9785) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Boundary behaviour of automorphisms of a hyperbolic space

V. A. Zorich

Moscow State University
English version PDF (554 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM9785
Abstract: An automorphism of a Euclidean ball extends to a homeomorphic mapping of the closed ball even when the quasiconformality coefficient of the mapping increases unboundedly but in a controlled way upon approaching the boundary of the ball. By means of Poincaré's conformally Euclidean model of the Lobachevsky space, this yields a condition under which an automorphism of a hyperbolic space still extends to the ideal boundary (the absolute) of the space when translated into geometric language.
Bibliography: 28 titles.
Keywords: hyperbolic space, Poincaré's model, quasiconformal mapping, equimorphism of the Lobachevsky space, asymptotic behaviour of the quasiconformality coefficient, boundary behaviour of a mapping.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00592-а
Ministry of Education and Science of the Russian Federation НШ-9110.2016.1
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 17-01-00592-a) and the programme “Leading Scientific Schools” (grant no. НШ-9110.2016.1).
Received: 20.06.2017
Russian version:
Uspekhi Matematicheskikh Nauk, 2017, Volume 72, Issue 4(436), Pages 67–94
DOI: https://doi.org/10.4213/rm9785
Bibliographic databases:
Document Type: Article
UDC: 517.54+514.774
MSC: Primary 30C62, 30C65; Secondary 51M10
Language: English
Original paper language: Russian
Citation: V. A. Zorich, “Boundary behaviour of automorphisms of a hyperbolic space”, Uspekhi Mat. Nauk, 72:4(436) (2017), 67–94; Russian Math. Surveys, 72:4 (2017), 645–670
Citation in format AMSBIB
\Bibitem{Zor17}
\by V.~A.~Zorich
\paper Boundary behaviour of automorphisms of a hyperbolic space
\jour Uspekhi Mat. Nauk
\yr 2017
\vol 72
\issue 4(436)
\pages 67--94
\mathnet{http://mi.mathnet.ru/rm9785}
\crossref{https://doi.org/10.4213/rm9785}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3687128}
\zmath{https://zbmath.org/?q=an:1393.30019}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2017RuMaS..72..645Z}
\elib{https://elibrary.ru/item.asp?id=29833306}
\transl
\jour Russian Math. Surveys
\yr 2017
\vol 72
\issue 4
\pages 645--670
\crossref{https://doi.org/10.1070/RM9785}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000417649600002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85039437246}
Linking options:
  • https://www.mathnet.ru/eng/rm9785
  • https://doi.org/10.1070/RM9785
  • https://www.mathnet.ru/eng/rm/v72/i4/p67
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:1272
    Russian version PDF:84
    English version PDF:27
    References:54
    First page:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024