Dual kinematic formulas

DOI10.1090/S0002-9947-99-02053-XzbMath0961.52001OpenAlexW1598178833MaRDI QIDQ4226659

Gaoyong Zhang

Publication date: 27 January 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02053-x

zbMATH Keywords

convex bodystar bodykinematic formuladual quermassintegralgeometric probabilitydual mixed volumechord power integral

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Integral geometry (53C65) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (18)

The dual \(\phi\)-Brunn-Minkowski inequality ⋮ Bonnesen-type inequalities for surfaces of constant curvature ⋮ \((p,q)\)-mixed geominimal surface area and \((p,q)\)-mixed affine surface area ⋮ The Orlicz Brunn-Minkowski inequality for dual harmonic quermassintegrals ⋮ Dual Orlicz-Brunn-Minkowski theory ⋮ Random chord distributions and containment functions ⋮ The \(L_p\) chord Minkowski problem ⋮ Inclusion measures of convex bodies (II) ⋮ Entropy of chord distribution of convex bodies ⋮ \(L_{p}\) dual curvature measures ⋮ The dual Minkowski problem for negative indices ⋮ Chord power integrals and radial mean bodies ⋮ Mixed \(L_p\) projection inequality ⋮ CHORD POWER INTEGRALS OF SIMPLICES ⋮ Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems ⋮ Integral geometric inequalities and valuations ⋮ Kinematic formulas for finite lattices ⋮ Extreme properties of quermassintegrals of convex bodies

Cites Work

• Intersection bodies and dual mixed volumes
• A positive answer to the Busemann-Petty problem in three dimensions
• Star valuations and dual mixed volumes
• The kinematic formula in Riemannian homogeneous spaces
• Intersection Bodies and the Busemann-Petty Problem
• On the Busemann-Petty problem\\ concerning central sections\\ of centrally symmetric convex bodies
• Centered Bodies and Dual Mixed Volumes
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