A remark on the Mahler conjecture: Local minimality of the unit cube
Work
Year: 2010
Type: article
Abstract: We prove that the unit cube $B^n_{\infty}$ is a strict local minimizer for the Mahler volume product $vol_n(K)vol_n(K^*)$ in the class of origin symmetric convex bodies endowed with the Banach-Mazur d... more
Source: Duke Mathematical Journal
Institutions University of Wisconsin–Madison, St. Petersburg Department of Steklov Institute of Mathematics, Kent State University
Cites: 13
Cited by: 60
Related to: 10
FWCI: 7.429
Citation percentile (by year/subfield): 97.66
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green