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Algebra i Analiz, 2007, Volume 19, Issue 2, Pages 131–155 (Mi aa117)  
This article is cited in 4 scientific papers (total in 4 papers)

Research Papers

Some extremal problems for vector bundles

V. V. Makeev

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (258 kB) Citations (4)
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Abstract: Analogs of well-known problems and theorems on convex bodies are considered for the case where the convex bodies are replaced by continuous fields of convex bodies in vector bundles.
Keywords: Field of convex bodies, mass distribution, normed plane.
Received: 14.02.2005
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 2, Pages 261–277
DOI: https://doi.org/10.1090/S1061-0022-08-00998-9
Bibliographic databases:
Document Type: Article
MSC: 52A99, 51M20
Language: Russian
Citation: V. V. Makeev, “Some extremal problems for vector bundles”, Algebra i Analiz, 19:2 (2007), 131–155; St. Petersburg Math. J., 19:2 (2008), 261–277
Citation in format AMSBIB
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\paper Some extremal problems for vector bundles
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\pages 131--155
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\zmath{https://zbmath.org/?q=an:1152.52004}
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\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 2
\pages 261--277
\crossref{https://doi.org/10.1090/S1061-0022-08-00998-9}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267653200008}
Linking options:
  • https://www.mathnet.ru/eng/aa117
  • https://www.mathnet.ru/eng/aa/v19/i2/p131
    • This publication is cited in the following 4 articles:
    1. V. V. Makeev, “On lattice packings of mirror or centrally symmetric convex three-dimensional body”, J. Math. Sci. (N. Y.), 212:5 (2016), 536–541  mathnet  crossref
    2. V. V. Makeev, N. Yu. Netsvetaev, “On the space of convex figures”, J. Math. Sci. (N. Y.), 212:5 (2016), 533–535  mathnet  crossref
    3. R. N. Karasev, “Theorems of Borsuk-Ulam type for flats and common transversals of families of convex compact sets”, Sb. Math., 200:10 (2009), 1453–1471  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    4. V. V. Makeev, “On parallelepipeds and centrally symmetric hexagonal prisms circumscribed about a three-dimensional centrally symmetric convex body”, J. Math. Sci. (N. Y.), 175:5 (2011), 559–561  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:543
    Full-text PDF :160
    References:60
    First page:6
     
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