Abstract
General affine invariances related to Mahler volume are introduced. We establish their affine isoperimetric inequalities by using a symmetrization scheme that involves a total of 2n elaborately chosen Steiner symmetrizations at a time. The necessity of this scheme, as opposed to the usual Steiner symmetrization, is demonstrated with an example (see the Appendix).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 14151-14180 |
| Number of pages | 30 |
| Journal | International Mathematics Research Notices |
| Volume | 2022 |
| Issue number | 18 |
| DOIs | |
| State | Published - Sep 1 2022 |
| Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics