Geodesic
Some extremal problems for vector bundles
Algebra i analiz, Tome 19 (2007) no. 2, pp. 131-155.

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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. 
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V. V. Makeev. Some extremal problems for vector bundles. Algebra i analiz, Tome 19 (2007) no. 2, pp. 131-155. http://geodesic.mathdoc.fr/item/AA_2007_19_2_a7/

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