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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 11, Pages 48–59 (Mi ivm1776)  

This article is cited in 5 scientific papers (total in 5 papers)

Projective geometry and the theory of physical structures

V. A. Kyrov

Gorno-Altaisk State University, Gorno-Altaisk, Russia
Full-text PDF (205 kB) Citations (5)
References:
Abstract: In this paper we establish connection between $s$-metric physical structures of rank $(s+3,2)$ and projective geometry. In particular, we find explicit functional relations determining phenomenological symmetry. For $s=1$, this relation is expressed in terms of the anharmonic ratio of four points. We prove that these functional relations lead to the group of projective transformations.
Keywords: physical structure, projective geometry.
Received: 04.07.2005
Revised: 05.04.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 11, Pages 42–52
DOI: https://doi.org/10.3103/S1066369X08110054
Bibliographic databases:
UDC: 514.14
Language: Russian
Citation: V. A. Kyrov, “Projective geometry and the theory of physical structures”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 11, 48–59; Russian Math. (Iz. VUZ), 52:11 (2008), 42–52
Citation in format AMSBIB
\Bibitem{Kyr08}
\by V.~A.~Kyrov
\paper Projective geometry and the theory of physical structures
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 11
\pages 48--59
\mathnet{http://mi.mathnet.ru/ivm1776}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2530584}
\zmath{https://zbmath.org/?q=an:1167.22005|1160.81308}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 11
\pages 42--52
\crossref{https://doi.org/10.3103/S1066369X08110054}
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  • https://www.mathnet.ru/eng/ivm1776
  • https://www.mathnet.ru/eng/ivm/y2008/i11/p48
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:324
    Full-text PDF :103
    References:48
    First page:4
     
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