The Centro-Affine Hadwiger Theorem

From MaRDI portal
Publication:3190945

DOI10.1090/S0894-0347-2014-00781-5zbMath1319.52006arXiv1307.0797OpenAlexW2028339223MaRDI QIDQ3190945

Lukas Parapatits, Christoph Haberl

Publication date: 19 September 2014

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

Full work available at URL: https://arxiv.org/abs/1307.0797




Related Items (78)

A Hadwiger-Type Theorem for General Tensor ValuationsValuations on Lattice PolytopesOrlicz version of mixed moment tensorsMinkowski endomorphismsA valuation-theoretic approach to translative-equidecomposabilityOrlicz-Aleksandrov-Fenchel inequality for Orlicz multiple mixed volumesThe \(L_{p}\)-Minkowski problem for \(-n < p < 1\)Real-valued valuations on Sobolev spacesFourier transform and valuationsDual Orlicz-Brunn-Minkowski theory: dual Orlicz \(L_{\phi}\) affine and geominimal surface areas\(\mathrm{SL}(n)\) contravariant vector valuationsThe spherical convex floating bodyOn the \(L_p\) dual Minkowski problemLaplace transforms and valuationsThe Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures\(L_p\)-curvature measures and \(L_{p, q}\)-mixed volumesTensor valuations on lattice polytopesA homogeneous decomposition theorem for valuations on convex functionsNecessary subspace concentration conditions for the even dual Minkowski problemCone-volume measure of general centered convex bodiesA priori estimates and existence of solutions to the prescribed centroaffine curvature problemSmooth solutions to the \(L_p\) dual Minkowski problemGeometric valuation theoryMinkowski valuations on convex functionsThe Hadwiger theorem on convex functions. IV: The Klain approachFloating functionsA characterization of the star duality mappingIterations of Minkowski valuationsConvex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting)The \(p\)-capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problemsThe \((\varphi, \psi)\) Orlicz mixed Petty bodiesVolume, polar volume and Euler characteristic for convex functionsCone-volume measures of polytopesSL\((n)\) covariant function-valued valuationsThe Orlicz mean zonoid operator\(\mathrm{SL}(n)\) contravariant \(L_p\) harmonic valuations on polytopesInvariant Valuations on Super-Coercive Convex Functions\(\mathrm{SL}(n)\) covariant vector-valued valuations on \(L^p\)-spacesLog-concavity properties of Minkowski valuationsAsymptotic normality for random polytopes in non-Euclidean geometriesOn reverse Minkowski-type inequalities\(\mathrm{SL}(m, \mathbb{C})\)-equivariant and translation covariant continuous tensor valuationsFixed points of Minkowski valuations\(L_{p}\) dual curvature measuresThe logarithmic Minkowski problem for non-symmetric measuresApproximation of smooth convex bodies by random polytopesThe dual Minkowski problem for negative indicesThe logarithmic Minkowski problem for polytopes\(\mathrm{SL}(n)\) invariant valuations on polytopesMinkowski valuations on lattice polytopesHalfspace depth and floating bodyCentro-affine tensor valuationsOn the \(L_{p}\) Monge-Ampère equationOn the log-Minkowski inequality for simplices and parallelepipedsFlag numbers and floating bodiesIntegral geometry of unitary area measuresCone-volume measure and stabilitySL($n$) covariant vector valuations on polytopesGeometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problemsIntegral geometric inequalities and valuationsValuations on log-concave functionsSharp affine isoperimetric inequalities for the volume decomposition functionals of polytopesAleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3The Petty projection inequality for sets of finite perimeterOrlicz Addition for Measures and an Optimization Problem for the -divergenceUnnamed ItemNew sine ellipsoids and related volume inequalitiesThe Orlicz-Minkowski problem for torsional rigidityThe dual Minkowski problem for symmetric convex bodiesAffine vs. Euclidean isoperimetric inequalities\(k\)-codimensional projection bodiesThe affine Orlicz Pólya-Szegő principle on \(BV(\Omega )\)Unnamed ItemLYZ Matrices and SL() Contravariant Valuations on PolytopesThe \(L_p\) Minkowski problem for polytopes for \(0 < p < 1\)The dual Orlicz-Brunn-Minkowski theoryAffine Pólya-Szegő inequality on Steiner rearrangement in any codimensionThe planar \(L_{p}\)-Minkowski problem for \(0<p<1\)



Cites Work


This page was built for publication: The Centro-Affine Hadwiger Theorem