Subspace concentration of dual curvature measures of symmetric convex bodies

Károly J. Böröczky; Martin Henk; Hannes Pollehn

doi:10.4310/jdg/1531188189

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Home > Journals > J. Differential Geom. > Volume 109 > Issue 3 > Article

July 2018 Subspace concentration of dual curvature measures of symmetric convex bodies

Károly J. Böröczky, Martin Henk, Hannes Pollehn

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Károly J. Böröczky,¹ Martin Henk,² Hannes Pollehn²
¹Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary
²Institut für Mathematik. Technische Universität Berlin, Germany

J. Differential Geom. 109(3): 411-429 (July 2018). DOI: 10.4310/jdg/1531188189

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Abstract

We prove a tight subspace concentration inequality for the dual curvature measures of a symmetric convex body.

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Károly J. Böröczky. Martin Henk. Hannes Pollehn. "Subspace concentration of dual curvature measures of symmetric convex bodies." J. Differential Geom. 109 (3) 411 - 429, July 2018. https://doi.org/10.4310/jdg/1531188189

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Received: 25 May 2015; Published: July 2018

First available in Project Euclid: 10 July 2018

zbMATH: 06917312

MathSciNet: MR3825606

Digital Object Identifier: 10.4310/jdg/1531188189

Subjects:

Primary: 52A38 , 52A40

Keywords: $L_p$-Minkowski problem , cone-volume measure , dual Brunn–Minkowski theory , dual curvature measure , integral curvature , logarithmic Minkowski problem , surface area measure

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Vol.109 • No. 3 • July 2018

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Károly J. Böröczky, Martin Henk, Hannes Pollehn "Subspace concentration of dual curvature measures of symmetric convex bodies," Journal of Differential Geometry, J. Differential Geom. 109(3), 411-429, (July 2018)

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