English

On the p-affine surface area

Metric Geometry 2009-09-25 v1 Functional Analysis

Abstract

We give geometric interpretations of certain affine invariants of convex bodies. The affine invariants are the p-affine surface areas introduced by Lutwak. The geometric interpretations involve generalizations of the Santal\'o-bodies introduced by the authors in a previous paper.

Keywords

Cite

@article{arxiv.math/9712276,
  title  = {On the p-affine surface area},
  author = {Mathieu Meyer and Elisabeth Werner},
  journal= {arXiv preprint arXiv:math/9712276},
  year   = {2009}
}