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Problemy Peredachi Informatsii, 2017, Volume 53, Issue 3, Pages 84–89 (Mi ppi2246)  
This article is cited in 4 scientific papers (total in 4 papers)

Large Systems

On projectively invariant points of an oval with a distinguished exterior line

A. M. Balitskiiab, A. V. Savchika, R. F. Gafarovc, I. A. Konovalenkoa

a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Moscow, Russia
c Innopolis University, Innopolis, Republic of Tatarstan, Russia
Full-text PDF (147 kB) Citations (4)
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Abstract: We consider projectively invariant points of an oval with a distinguished exterior line. For this, we introduce a projectively invariant transformation of the line parametrized by the oval. Projectively invariant points are defined as fixed points of this transformation applied twice. We prove that there are at least four such points. For the proof we reduce the problem to an affine problem and construct an extremal area parallelogram circumscribed around the oval.
Funding agency Grant number
Russian Foundation for Basic Research 16-07-00836
Supported in part by the Russian Foundation for Basic Research, project no. 16-07-00836.
Received: 11.11.2016
Revised: 26.01.2017
English version:
Problems of Information Transmission, 2017, Volume 53, Issue 3, Pages 279–283
DOI: https://doi.org/10.1134/S0032946017030097
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.1
Language: Russian
Citation: A. M. Balitskii, A. V. Savchik, R. F. Gafarov, I. A. Konovalenko, “On projectively invariant points of an oval with a distinguished exterior line”, Probl. Peredachi Inf., 53:3 (2017), 84–89; Problems Inform. Transmission, 53:3 (2017), 279–283
Citation in format AMSBIB
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\paper On projectively invariant points of an oval with a~distinguished exterior line
\jour Probl. Peredachi Inf.
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\issue 3
\pages 84--89
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\jour Problems Inform. Transmission
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\pages 279--283
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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