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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 279, Pages 187–196 (Mi znsl1461)  

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

Equipartition of a mass continuously distributed on a sphere or in space

V. V. Makeev

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (170 kB) Citations (2)
Abstract: Masses continuously distributed on a sphere or in a projective or Euclidean space are considered. Several theorems on equipartition of such a mass by a configuration of planes of this or other type are proved by topological means. Unsolved questions are posed.
Received: 31.05.2000
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 119, Issue 1, Pages 96–100
DOI: https://doi.org/10.1023/B:JOTH.0000008746.06445.63
Bibliographic databases:
UDC: 514.172
Language: Russian
Citation: V. V. Makeev, “Equipartition of a mass continuously distributed on a sphere or in space”, Geometry and topology. Part 6, Zap. Nauchn. Sem. POMI, 279, POMI, St. Petersburg, 2001, 187–196; J. Math. Sci. (N. Y.), 119:1 (2004), 96–100
Citation in format AMSBIB
\Bibitem{Mak01}
\by V.~V.~Makeev
\paper Equipartition of a mass continuously distributed on a sphere or in space
\inbook Geometry and topology. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 279
\pages 187--196
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1461}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1846080}
\zmath{https://zbmath.org/?q=an:1073.52502}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 119
\issue 1
\pages 96--100
\crossref{https://doi.org/10.1023/B:JOTH.0000008746.06445.63}
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  • https://www.mathnet.ru/eng/znsl/v279/p187
  • 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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