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A Generalized Affine Isoperimetric Inequality

度量几何 2007-05-23 v2 经典分析与常微分方程

摘要

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.

关键词

引用

@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}
}

备注

17 pages, LaTeX2e document