The Busemann theorem for complex \(p\)-convex bodies

DOI10.1007/S00013-012-0422-YzbMath1260.52002OpenAlexW1999419721MaRDI QIDQ1759613

Guangting Wang, Qingzhong Huang, Bin-Wu He

Publication date: 21 November 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0422-y

zbMATH Keywords

intersection body\(p\)-convex bodyBusemann theoremcomplex intersection bodygeneralized radial \(q\)th mean body

Mathematics Subject Classification ID

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

Related Items (3)

Inequalities for complex centroid bodies ⋮ Volume inequalities for complex isotropic measures ⋮ Mixed complex brightness integrals

Cites Work

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• Projection bodies in complex vector spaces
• The geometry of \(p\)-convex intersection bodies
• Stability of volume comparison for complex convex bodies
• The complex Busemann-Petty problem for arbitrary measures
• The modified complex Busemann-Petty problem on sections of convex bodies
• Intersection bodies and dual mixed volumes
• The complex Busemann-Petty problem on sections of convex bodies
• Comparison of volumes of convex bodies in real, complex, and quaternionic spaces
• Complex intersection bodies
• Logarithmically concave functions and sections of convex sets in $R^{n}$
• Affine inequalities and radial mean bodies
• The Brunn-Minkowski inequality
• Extremal sections of complex l_p-balls, 0 < p ≤2
• Minimal volume of slabs in the complex cube
• A Theorem on Convex Bodies of the Brunn-Minkowski Type

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