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On the Local Version of the Log-Brunn–Minkowski Conjecture and Some New Related Geometric Inequalities

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Publication:5038066
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DOI10.1093/imrn/rnab142zbMath1497.52014arXiv2004.06103OpenAlexW3166311373WikidataQ113819061 ScholiaQ113819061MaRDI QIDQ5038066

Alexander V. Kolesnikov, Galyna V. Livshyts

Publication date: 29 September 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06103



Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


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On \(p\)-Brunn-Minkowski inequalities for intrinsic volumes, with \(0\le p<1\) ⋮ A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures ⋮ On the planar Gaussian-Minkowski problem ⋮ Stable solution of the Logarithmic Minkowski problem in the case of hyperplane symmetries ⋮ On $L_p$-Brunn-Minkowski type and $L_p$-isoperimetric type inequalities for measures



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