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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)
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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
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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