A uniqueness result for mean section bodies

DOI10.1016/j.aim.2011.09.009zbMath1232.52005OpenAlexW2076651207MaRDI QIDQ655354

Wolfgang Weil, Paul R. Goodey

Publication date: 4 January 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.09.009

zbMATH Keywords

convex bodiesMinkowski summean section bodiessurface area measures

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (4)

A Hadwiger-Type Theorem for General Tensor Valuations ⋮ Projection functions, area measures and the Alesker-Fourier transform ⋮ On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality ⋮ Affine vs. Euclidean isoperimetric inequalities

Cites Work

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• Local properties of intertwining operators on the sphere
• Harmonic analysis of translation invariant valuations
• Crofton's formula generalized to projected thick sections
• Section and projection means of convex bodies
• Mixed polytopes
• Translative and kinematic integral formulae for support functions
• Spherical projections and liftings in geometric tomography
• The Sine Transform of Isotropic Measures
• Stochastic and Integral Geometry
• Translative and Kinematic Integral Formulae for Curvature Measures
• The determination of convex bodies from the mean of random sections
• Radon transforms of projection functions
• Über eine Integralgleichung in der Theorie der konvexen Körper

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