Translator Disclaimer
15 April 2020 Symmetric Mahler’s conjecture for the volume product in the 3-dimensional case
Hiroshi Iriyeh, Masataka Shibata
Duke Math. J. 169(6): 1077-1134 (15 April 2020). DOI: 10.1215/00127094-2019-0072

Abstract

We prove Mahler’s conjecture concerning the volume product of centrally symmetric, convex bodies in Rn in the case where n=3. More precisely, we show that, for every 3-dimensional, centrally symmetric, convex body KR3, the volume product |K||K| is greater than or equal to 32/3 with equality if and only if K or K is a parallelepiped.

Citation

Download Citation

Hiroshi Iriyeh. Masataka Shibata. "Symmetric Mahler’s conjecture for the volume product in the 3-dimensional case." Duke Math. J. 169 (6) 1077 - 1134, 15 April 2020. https://doi.org/10.1215/00127094-2019-0072

Information

Received: 24 October 2017; Revised: 29 August 2019; Published: 15 April 2020
First available in Project Euclid: 19 February 2020

zbMATH: 07198472
MathSciNet: MR4085078
Digital Object Identifier: 10.1215/00127094-2019-0072

Subjects:
Primary: 52A40
Secondary: 52A38, 55M25

Rights: Copyright © 2020 Duke University Press

JOURNAL ARTICLE
58 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.169 • No. 6 • 15 April 2020
Back to Top