Sums of sections, surface area measures, and the general Minkowski problem

DOI10.4310/jdg/1406033977zbMath1301.52009OpenAlexW1487019636WikidataQ115168618 ScholiaQ115168618MaRDI QIDQ2509574

Paul R. Goodey, Wolfgang Weil

Publication date: 28 July 2014

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jdg/1406033977

zbMATH Keywords

Fourier transformMinkowski sumsection body

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (7)

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 ⋮ Kinematic formulas for tensor valuations ⋮ Log-concavity properties of Minkowski valuations ⋮ Kinematic formulae for tensorial curvature measures ⋮ Affine vs. Euclidean isoperimetric inequalities

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