Abstract
We prove that the unit cube is a strict local minimizer for the Mahler volume product in the class of origin-symmetric convex bodies endowed with the Banach-Mazur distance.
Citation
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
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