Convex and Discrete Geometry mathscidoc:1703.40024
Discrete Mathematics
A new proof of the Mahler conjecture in R2 is given. In order to prove the result, we
introduce a new method the vertex removal method; i.e., for any origin-symmetric
polygon P, there exists a linear image P contained in the unit disk B2, and there exist
three contiguous vertices of P lying on the boundary of B2. We can show that the volume product
of P decreases when we remove the middle vertex of the three vertices.
@inproceedings{youjiangconvex,
title={Convex bodies with minimal volume product in R^2-a new proof},
author={Youjiang Lin},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170304213000711276610},
booktitle={Discrete Mathematics},
}
Youjiang Lin. Convex bodies with minimal volume product in R^2-a new proof. In Discrete Mathematics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170304213000711276610.