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15 September 2010 A remark on the Mahler conjecture: Local minimality of the unit cube
Fedor Nazarov, Fedor Petrov, Dmitry Ryabogin, Artem Zvavitch
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Duke Math. J. 154(3): 419-430 (15 September 2010). DOI: 10.1215/00127094-2010-042

Abstract

We prove that the unit cube Bn is a strict local minimizer for the Mahler volume product voln(K)voln(K*) in the class of origin-symmetric convex bodies endowed with the Banach-Mazur distance.

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Fedor Nazarov. Fedor Petrov. Dmitry Ryabogin. Artem Zvavitch. "A remark on the Mahler conjecture: Local minimality of the unit cube." Duke Math. J. 154 (3) 419 - 430, 15 September 2010. https://doi.org/10.1215/00127094-2010-042

Information

Published: 15 September 2010
First available in Project Euclid: 7 September 2010

zbMATH: 1207.52005
MathSciNet: MR2730574
Digital Object Identifier: 10.1215/00127094-2010-042

Subjects:
Primary: 52A20 , 52A40

Rights: Copyright © 2010 Duke University Press

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Vol.154 • No. 3 • 15 September 2010
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