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On Reverses of the Blaschke-Santal? Inequality for Convex Bo dies
Author(s): 
Pages: 605-611
Year: Issue:  4
Journal: Chinese Quarterly Journal of Mathematics

Keyword:  convex bodyBlaschke-Santal? inequalityreversePetty’s conjecture;
Abstract: Reisner proved a reverse of the Blaschke-Santal? inequality for zonoid bodies, Bourgain and Milman showed another reverse of the Blaschke-Santal? inequality for centered convex bodies. In this paper, two reverses of the Blaschke-Santal¨o inequality for convex bodies are given by the Petty projection inequality and above two reverses. Further, using above methods, we also obtain two analogues of the Petty’s conjecture for projection bodies, respectively.
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