The space of isometry covariant tensor valuations

DOI10.1090/S1061-0022-07-00990-9zbMath1134.52008MaRDI QIDQ5440800

Daniel Hug, Rolf Schneider, Ralph Schuster

Publication date: 5 February 2008

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

convex bodyisometry covariancetensor valuation

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Mixed volumes and related topics in convex geometry (52A39) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

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Cites Work

• Continuous translation invariant valuations on the space of compact convex sets
• Description of continuous isometry covariant valuations on convex sets
• Continuous rotation invariant valuations on convex sets
• Continuous valuations on convex sets
• On P. McMullen's conjecture on translation invariant valuations
• Hard Lefschetz theorem for valuations, complex integral geometry, and unitarily invariant valuations.
• On Steiner points of convex bodies
• Vektorielle Integralgeometrie
• Krümmungsschwerpunkte konvexer Körper. II. (Barycenter of curvature of convex bodies. II)
• A short proof of Hadwiger's characterization theorem
• Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture
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