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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

Some extremal problems for vector bundles


Author: V. V. Makeev
Translated by: B. M. Bekker
Original publication: Algebra i Analiz, tom 19 (2007), nomer 2.
Journal: St. Petersburg Math. J. 19 (2008), 261-277
MSC (2000): Primary 52A99, 51M20
Published electronically: February 7, 2008
MathSciNet review: 2333901
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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.


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Additional Information

V. V. Makeev
Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ pr. 28, Staryĭ Peterhof, St. Petersburg 198504, Russia
Email: mvv57@inbox.ru

DOI: http://dx.doi.org/10.1090/S1061-0022-08-00998-9
PII: S 1061-0022(08)00998-9
Keywords: Field of convex bodies, mass distribution, normed plane
Received by editor(s): February 14, 2005
Published electronically: February 7, 2008
Article copyright: © Copyright 2008 American Mathematical Society