Loading [MathJax]/jax/output/SVG/config.js
Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2006, Volume 40, Issue 2, Pages 33–43
DOI: https://doi.org/10.4213/faa1 (Mi faa1) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Diffeomorphisms Taking Lines to Circles, and Quaternionic Hopf Fibrations

V. A. Timorinab

a Independent University of Moscow
b Institute for Mathematical Sciences, Stony Brook University
Full-text PDF (172 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa1
Abstract: We list all diffeomorphisms between an open subset of the four-dimensional projective space and an open subset of the four-dimensional sphere that take all line segments to arcs of round circles. These diffeomorphisms are restrictions of quaternionic Hopf fibrations and radial projections from hyperplanes to spheres.
Received: 21.12.2004
English version:
Functional Analysis and Its Applications, 2006, Volume 40, Issue 2, Pages 108–116
DOI: https://doi.org/10.1007/s10688-006-0017-0
Bibliographic databases:
Document Type: Article
UDC: 514.124
Language: Russian
Citation: V. A. Timorin, “Diffeomorphisms Taking Lines to Circles, and Quaternionic Hopf Fibrations”, Funktsional. Anal. i Prilozhen., 40:2 (2006), 33–43; Funct. Anal. Appl., 40:2 (2006), 108–116
Citation in format AMSBIB
\Bibitem{Tim06}
\by V.~A.~Timorin
\paper Diffeomorphisms Taking Lines to Circles, and Quaternionic Hopf Fibrations
\jour Funktsional. Anal. i Prilozhen.
\yr 2006
\vol 40
\issue 2
\pages 33--43
\mathnet{http://mi.mathnet.ru/faa1}
\crossref{https://doi.org/10.4213/faa1}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2256861}
\zmath{https://zbmath.org/?q=an:1099.53003}
\elib{https://elibrary.ru/item.asp?id=9213512}
\transl
\jour Funct. Anal. Appl.
\yr 2006
\vol 40
\issue 2
\pages 108--116
\crossref{https://doi.org/10.1007/s10688-006-0017-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000238498600004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744782291}
Linking options:
  • https://www.mathnet.ru/eng/faa1
  • https://doi.org/10.4213/faa1
  • https://www.mathnet.ru/eng/faa/v40/i2/p33
    • 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
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:564
    Full-text PDF :330
    References:67
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025