Autor:	Kim, Jaegil
Rok vydání:	2012
Předmět:	Mathematics - Functional Analysis Mathematics - Metric Geometry 52A20 52A40 52B11
Druh dokumentu:	Working Paper
Popis:	Mahler's conjecture asks whether the cube is a minimizer for the volume product of a body and its polar in the class of symmetric convex bodies in a fixed dimension. It is known that every Hanner polytope has the same volume product as the cube or the cross-polytope. In this paper we prove that every Hanner polytope is a strict local minimizer for the volume product in the class of symmetric convex bodies endowed with the Banach-Mazur distance.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1212.2544 Zobrazit plný text záznamu View this record from Arxiv