Modified Busemann-Petty problem on sections of convex bodies

DOI10.1007/BF02773605zbMath1139.52009arXivmath/0410496OpenAlexW1988749628MaRDI QIDQ2472716

Vladyslav Yaskin, Maryna Yaskina, Alexander L. Koldobsky

Publication date: 22 February 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410496

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

On sections of convex bodies in hyperbolic space, Comparison of volumes of convex bodies in real, complex, and quaternionic spaces, The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry, Stability related to the Lp$L_p$ Busemann–Petty problem, Stability in the Busemann-Petty and Shephard problems, The Cos\(^\lambda\) and Sin\(^\lambda\) transforms as intertwining operators between generalized principal series representations of SL\((n+1,\mathbb K)\), The complex Busemann-Petty problem on sections of convex bodies, The Busemann-Petty problem for arbitrary measures, The Busemann--Petty problem in hyperbolic and spherical spaces, Modified Shephard's problem on projections of convex bodies, The Busemann–Petty problem in the complex hyperbolic space, The modified complex Busemann-Petty problem on sections of convex bodies, Stability in the shephard problem for L p -projection of convex bodies

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