On an extension of the Blaschke-Santaló inequality and the hyperplane conjecture

DOI10.1016/j.jmaa.2008.03.002zbMath1155.52004OpenAlexW1989860498WikidataQ123023983 ScholiaQ123023983MaRDI QIDQ2427765

David Alonso-Gutiérrez

Publication date: 28 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.002

zbMATH Keywords

Blaschke-Santaló inequality\(p\)-ballsHyperplane conjecture

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items

Isotropic constants and Mahler volumes, On isoperimetric inequalities in Minkowski spaces, The functional version of the Ball inequality

Cites Work

• From the Mahler conjecture to Gauss linking integrals
• New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
• Logarithmically concave functions and sections of convex sets in $R^{n}$
• Slicing Convex Bodies-Bounds for Slice Area in Terms of the Body's Covariance
• Inequalities for the gamma function
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