The local logarithmic Brunn-Minkowski inequality for zonoids

DOI10.1007/978-3-031-26300-2_14zbMATH Open1548.52011MaRDI QIDQ6608555

Ramon van Handel

Publication date: 20 September 2024

zbMATH Keywords

mixed volumezonoidBochner methodlogarithmic Brunn-Minkowski inequality

Mathematics Subject Classification ID

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

Cites Work

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• The log-Brunn-Minkowski inequality
• Geometric applications of the solvability of Neumann problems on a Riemannian manifold
• The extremals of Minkowski's quadratic inequality
• The \(L_p\)-Brunn-Minkowski inequality for \(p<1\)
• One more proof of the Alexandrov-Fenchel inequality
• On the stability of Brunn-Minkowski type inequalities
• Remarks on the conjectured log-Brunn-Minkowski inequality
• Equivalence of the local and global versions of the \(L^p\)-Brunn-Minkowski inequality
• Zonoids with Minimal Volume-Product--A New Proof
• The Brunn-Minkowski inequality
• Poincaré and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds
• Log-Brunn-Minkowski inequality under symmetry
• Mixed volumes and the Bochner method
• Convex Bodies The Brunn-MinkowskiTheory
• A Class of Convex Bodies
• Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen.

Related Items (2)

Uniqueness when the \(L_p\) curvature is close to be a constant for \(p\in[0, 1)\) ⋮ Dual Orlicz curvature measures for log-concave functions and their Minkowski problems

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