Even Minkowski valuations

DOI10.1353/ajm.2015.0041zbMath1336.52020arXiv1411.1934OpenAlexW2962710855WikidataQ125759447 ScholiaQ125759447MaRDI QIDQ3458413

Franz E. Schuster, Thomas Wannerer

Publication date: 18 December 2015

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1934

zbMATH Keywords

generating functionconvex bodycharacterization theoremtranslation invariantMinkowski valuationHard Lefschetz operatorKlain bodyrotation equivariantspherical Crofton measure

Mathematics Subject Classification ID

Integral geometry (53C65) Mixed volumes and related topics in convex geometry (52A39) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (25)

Integral Geometry and Algebraic Structures for Tensor Valuations ⋮ A Hadwiger-Type Theorem for General Tensor Valuations ⋮ Projection functions, area measures and the Alesker-Fourier transform ⋮ Minkowski endomorphisms ⋮ Classification of angular curvature measures and a proof of the angularity conjecture ⋮ Extremum of geometric functionals involving general \(L_{p}\)-projection bodies ⋮ Minkowski valuations under volume constraints ⋮ On some problems concerning symmetrization operators ⋮ Lutwak-Petty projection inequalities for Minkowski valuations and their duals ⋮ Iterations of Minkowski valuations ⋮ Kinematic formulas for tensor valuations ⋮ Inequalities for general width-integrals of Blaschke-Minkowski homomorphisms ⋮ Minkowski additive operators under volume constraints ⋮ SL\((n)\) covariant function-valued valuations ⋮ Log-concavity properties of Minkowski valuations ⋮ Fixed points of Minkowski valuations ⋮ The logarithmic Minkowski problem for non-symmetric measures ⋮ Centro-affine tensor valuations ⋮ On the \(L_{p}\) Monge-Ampère equation ⋮ Contact measures in isotropic spaces ⋮ Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems ⋮ General \((p,q)\)-mixed projection bodies ⋮ New sine ellipsoids and related volume inequalities ⋮ Affine vs. Euclidean isoperimetric inequalities ⋮ General \(L_{p}\)-mixed-brightness integrals

This page was built for publication: Even Minkowski valuations