SL(2) intertwining Minkowski valuations in the plane

DOI10.1016/j.aam.2021.102231zbMath1470.52018OpenAlexW3167831620MaRDI QIDQ2048382

Liangying Ma, Gang Song Leng

Publication date: 5 August 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2021.102231

zbMATH Keywords

polygonprojection bodydifference bodyMinkowski valuation\(\mathrm{SL}(2)\) contravariant\(\mathrm{SL}(2)\) covariant

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Cites Work

• Minkowski areas and valuations
• Minkowski valuations intertwining the special linear group
• Ellipsoids and matrix-valued valuations
• Minkowski valuations under volume constraints
• Minkowski valuations and generalized valuations
• Minkowski valuations on lattice polytopes
• Bewegungsäquivariante, additive und stetige Transformationen konvexer Bereiche
• Projection bodies and valuations
• SL\((n)\) covariant function-valued valuations
• Valuations and surface area measures
• Elementary moves on triangulations
• \(L_{p}\) Minkowski valuations on polytopes
• On monotone translation-projection covariant Minkowski valuations
• Blaschke valuations
• $\mathrm{GL}(n)$ contravariant Minkowski valuations
• Rotation equivariant Minkowski valuations
• SL($n$) covariant vector valuations on polytopes
• $GL(n)$ equivariant Minkowski valuations
• 𝐿_{𝑝}-Blaschke valuations
• $\mathrm {SL}(n)$-contravariant $L_p$-Minkowski valuations
• Convex Bodies The Brunn-MinkowskiTheory
• Minkowski valuations
• Euler-Type Relations for Convex Polytopes
• Affine Function-Valued Valuations
• LYZ Matrices and SL() Contravariant Valuations on Polytopes

This page was built for publication: SL(2) intertwining Minkowski valuations in the plane