Inequalities for general mixed affine surface areas
Metric Geometry
2012-01-26 v1 Functional Analysis
Abstract
Several general mixed affine surface areas are introduced. We prove some important properties, such as, affine invariance, for these general mixed affine surface areas. We also establish new Alexandrov-Fenchel type inequalities, Santal\'{o}-type inequalities, and affine isoperimetric inequalities for these general mixed affine surface areas.
Keywords
Cite
@article{arxiv.1112.5129,
title = {Inequalities for general mixed affine surface areas},
author = {Deping Ye},
journal= {arXiv preprint arXiv:1112.5129},
year = {2012}
}