On the volume product of polygons - Archive ouverte HAL Access content directly
Journal Articles ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG Year : 2011

On the volume product of polygons

Shlomo Reisner
  • Function : Author

Abstract

We present a method that allows us to prove that the volume product of polygons in a"e(2) with at most n vertices is bounded from above by the volume product of regular polygons with n vertices. The same method shows that the volume product of polygons is bounded from below by the volume product of triangles (or parallelograms in the centrally symmetric case). These last results give a new proof of theorems of K. Mahler. The cases of equality are completely described.
No file

Dates and versions

hal-00692991 , version 1 (01-05-2012)

Identifiers

Cite

Mathieu Meyer, Shlomo Reisner. On the volume product of polygons. ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2011, 81 (1), pp.93--100. ⟨10.1007/s12188-011-0054-3⟩. ⟨hal-00692991⟩
61 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More