Valuation theory of indefinite orthogonal groups

DOI10.1016/j.jfa.2017.06.005zbMath1373.52017arXiv1602.08760OpenAlexW2292063678MaRDI QIDQ2363164

Andreas Bernig, Dmitry Faifman

Publication date: 13 July 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08760

zbMATH Keywords

valuationHadwiger's theoremindefinite orthogonal groupgeneralized valuationKlain function

Mathematics Subject Classification ID

Integral geometry (53C65) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (15)

Crofton formulas and indefinite signature ⋮ Classification of angular curvature measures and a proof of the angularity conjecture ⋮ Crofton formulas in pseudo-Riemannian space forms ⋮ Curvature measures of pseudo-Riemannian manifolds ⋮ The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures ⋮ Uniqueness of curvature measures in pseudo-Riemannian geometry ⋮ Geometric valuation theory ⋮ On the extendability by continuity of angular valuations on polytopes ⋮ Quasianalyticity, uncertainty, and integral transforms on higher Grassmannians ⋮ Kinematic formulae for tensorial curvature measures ⋮ Contact measures in isotropic spaces ⋮ Contact integral geometry and the Heisenberg algebra ⋮ FLAG AREA MEASURES ⋮ Characterisation of valuations and curvature measures in euclidean spaces ⋮ On convergence of intrinsic volumes of Riemannian manifolds

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