## Convex bodies with minimal volume product in R2 - a new proof

- Youjiang Lin, Gangsong Leng
- Discrete Mathematics
- 2010

- Published 2014

In [22], Meyer and Reisner 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 R3 , 3-cubes have the minimal Mahler volume. Mathematics subject classification (2010): 52A10, 52A40.

@inproceedings{Lin2014OriginsymmetricBO,
title={Origin–symmetric Bodies of Revolution with Minimal Mahler Volume in R3 –a New Proof},
author={Youjiang Lin and Gangsong Leng},
year={2014}
}