Volumes of projection bodies

DOI10.1112/S002557930001175XzbMath0872.52004MaRDI QIDQ4339975

Noah Samuel Brannen

Publication date: 16 June 1997

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

convex bodiesprojection bodiesaffine isoperimetric inequalities

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (20)

On polars of mixed projection bodies ⋮ Extremum of geometric functionals involving general \(L_{p}\)-projection bodies ⋮ General complex \(L_p\) projection bodies and complex \(L_p\) mixed projection bodies ⋮ The Petty projection inequality for \(L_p\)-mixed projection bodies ⋮ Projection problems for symmetric polytopes ⋮ A new affine invariant for polytopes and Schneider’s projection problem ⋮ Inequalities relating to \(L_p\) -version of petty's conjectured projection inequality ⋮ Petty projection inequalities for the general L p -mixed projection bodies ⋮ \(L_p\)-dual quermassintegral sums ⋮ Subword complexity and projection bodies ⋮ Several inequalities for L 2-projection body ⋮ On isoperimetric inequalities in Minkowski spaces ⋮ Inequalities for polars of mixed projection bodies ⋮ On the reverse Loomis-Whitney inequality ⋮ Sharp inequalities related to the functional \(U_j\) and some applications ⋮ On the equivalence between two problems of asymmetry on convex bodies ⋮ VOLUMES OF PROJECTION BODIES OF SOME CLASSES OF CONVEX BODIES ⋮ On inner and outer radii in Minkowski spaces ⋮ On the shape of a convex body with respect to its second projection body ⋮ On LYZ's conjecture for the \(U\)-functional

Cites Work

• Unnamed Item
• The difference body of a convex body
• Der zentralsymmetrische Kern und die zentralsymmetrische Hülle von konvexen Körpern
• Volumes of Projections of unit Cubes
• Random hyperplanes meeting a convex body
• A Compactness Theorem For Affine Equivalence-Classes of Convex Regions

This page was built for publication: Volumes of projection bodies