On the th-order Affine Pólya-Szegö Principle
arXiv:2409.02232 · doi:10.1007/s12220-025-02039-8
Abstract
An affine Pólya-Szegö principle for a family of affine energies, with equality condition characterization, is demonstrated. In particular, this recovers, as special cases, the affine Pólya-Szegö principles due to Cianchi, Lutwak, Yang and Zhang, and subsequently Haberl, Schuster and Xiao. Various applications of this new Pólya-Szegö principle are shown.
26 pages