Busemann-Petty problems for general \(L_p\)-intersection bodies

DOI10.1007/s10114-015-4273-xzbMath1333.52010OpenAlexW2004951981MaRDI QIDQ2353241

Wei-Dong Wang, Ya-Nan Li

Publication date: 8 July 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-4273-x

zbMATH Keywords

Busemann-Petty problemgeneral \(L_p\)-intersection body

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (16)

Extremum of geometric functionals involving general \(L_{p}\)-projection bodies ⋮ Busemann-Petty problems for quasi \(L_p\) intersection bodies ⋮ A type of Busemann-Petty problems for general Lp-intersection bodies ⋮ Lp -dual geominimal surface areas for the general Lp-intersection bodies ⋮ Inequalities on asymmetric Lp-harmonic radial bodies ⋮ The normalized L_p intersection bodies ⋮ General \(L_{p}\)-mixed chord integrals of star bodies ⋮ Some Brunn-Minkowski type inequalities for \(L_{p}\) radial Blaschke-Minkowski homomorphisms ⋮ Some inequalities for asymmetric L_p-mean zonoids ⋮ Busemann-Petty problems for L_p mixed intersection bodies ⋮ Some inequalities on general \(L_p\)-mixed brightness integrals ⋮ On the Negative Solutions of L_p-Busemann-Petty Problem ⋮ Lp-dual affine surface areas for the general Lp-intersection bodies ⋮ General \(L_{p}\)-mixed-brightness integrals ⋮ General \(L_{p}\)-dual Blaschke bodies and the applications ⋮ Shephard type problems for general \(L_{p}\)-centroid bodies

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