A Generalized Affine Isoperimetric Inequality

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Chen, Wenxiong ; Howard, Ralph ; Lutwak, Erwin ; Yang, Deane ; Zhang, Gaoyong (2004)
  • Subject: 52A40 (Primary) 52A10 53A15 (Secondary) | Mathematics - Classical Analysis and ODEs | Mathematics - Metric Geometry
    arxiv: Mathematics::Metric Geometry | Mathematics::Differential Geometry

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.
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