Origin-Symmetric Bodies of Revolution with Minimal Mahler Volume in R^3-a new proof

Autor:	Lin, Youjiang, Leng, Gangsong
Rok vydání:	2014
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	Meyer and Reisner had proved the Mahler conjecture for rovelution bodies. In this paper, using a new method, we prove that among origin-symmetric bodies of revolution in R^3, cylinders have the minimal Mahler volume. Further, we prove that among parallel sections homothety bodies in R^3, 3-cubes have the minimal Mahler volume.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.0322 Zobrazit plný text záznamu View this record from Arxiv