A LOCAL UNIQUENESS THEOREM FOR MINIMIZERS OF PETTY's CONJECTURED PROJECTION INEQUALITY

DOI10.1112/S0025579317000444zbMath1393.52002arXiv1610.03796MaRDI QIDQ4605335

Mohammad N. Ivaki

Publication date: 22 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03796

zbMATH Keywords

projection bodyPetty conjectured inequality

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Affine differential geometry (53A15)

Related Items (6)

Iterations of the projection body operator and a remark on Petty's conjectured projection inequality ⋮ On the stability of the \(L_p\)-curvature ⋮ ITERATIONS OF CURVATURE IMAGES ⋮ Iterations of Minkowski valuations ⋮ Fixed points of Minkowski valuations ⋮ The second mixed projection problem and the projection centroid conjectures

Cites Work

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• Über die Projektionenkörper konvexer Polytope
• Integral Geometry and Radon Transforms
• Stability Results for First Order Projection Bodies
• The inverse function theorem of Nash and Moser
• Minkowski valuations
• Hedgehogs and zonoids

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