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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 246, Pages 141–151 (Mi znsl553)  

This article is cited in 2 scientific papers (total in 2 papers)

The topology and the Lorentz-invariant pseudo-Riemannian metric of the manifold of directions in the physical space

S. E. Kozlov

Saint-Petersburg State University
Full-text PDF (176 kB) Citations (2)
Abstract: In the mathematical model of the special theory of relativity the two-dimensional Minkowski subspace is interpreted as a one-dimensional direction of the physical space. The manifold of such planes is naturally provided with the structure of a pseudoriemann manifold, the group of isochronous Lorentz transformations on which acts by isometries transitively. The present paper is dedicated to the study of the topology and metric geometry of this manifold.
Received: 11.12.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 100, Issue 3, Pages 2277–2283
DOI: https://doi.org/10.1007/s10958-000-0011-7
Bibliographic databases:
UDC: 514.7+271.21.21.17
Language: Russian
Citation: S. E. Kozlov, “The topology and the Lorentz-invariant pseudo-Riemannian metric of the manifold of directions in the physical space”, Geometry and topology. Part 2, Zap. Nauchn. Sem. POMI, 246, POMI, St. Petersburg, 1997, 141–151; J. Math. Sci. (New York), 100:3 (2000), 2277–2283
Citation in format AMSBIB
\Bibitem{Koz97}
\by S.~E.~Kozlov
\paper The topology and the Lorentz-invariant pseudo-Riemannian metric of the manifold of directions in the
physical space
\inbook Geometry and topology. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 246
\pages 141--151
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl553}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1631796}
\zmath{https://zbmath.org/?q=an:0918.53010}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 100
\issue 3
\pages 2277--2283
\crossref{https://doi.org/10.1007/s10958-000-0011-7}
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  • https://www.mathnet.ru/eng/znsl/v246/p141
  • 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
    Записки научных семинаров ПОМИ
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