English

Symmetric Mahler's conjecture for the volume product in the three dimensional case

Metric Geometry 2020-12-16 v3 Symplectic Geometry

Abstract

In this paper, we prove Mahler's conjecture concerning the volume product of centrally symmetric convex bodies in Rn\mathbb{R}^n in the case where n=3n=3. Furthermore, we determine the equality condition.

Keywords

Cite

@article{arxiv.1706.01749,
  title  = {Symmetric Mahler's conjecture for the volume product in the three dimensional case},
  author = {Hiroshi Iriyeh and Masataka Shibata},
  journal= {arXiv preprint arXiv:1706.01749},
  year   = {2020}
}

Comments

60 pages, 2 figures