English

A Generalized Affine Isoperimetric Inequality

Metric Geometry 2007-05-23 v2 Classical Analysis and ODEs

Abstract

A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-Santalo inequality and the affine isoperimetric inequality of affine differential geometry.

Keywords

Cite

@article{arxiv.math/0402083,
  title  = {A Generalized Affine Isoperimetric Inequality},
  author = {Wenxiong Chen and Ralph Howard and Erwin Lutwak and Deane Yang and Gaoyong Zhang},
  journal= {arXiv preprint arXiv:math/0402083},
  year   = {2007}
}

Comments

17 pages, LaTeX2e document