Valuations with Crofton formula and Finsler geometry

DOI10.1016/j.aim.2006.07.009zbMath1128.53047OpenAlexW2063590492MaRDI QIDQ875251

Andreas Bernig

Publication date: 13 April 2007

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

Full work available at URL: http://doc.rero.ch/record/8427/files/bernig_crofton.pdf

zbMATH Keywords

valuationFinsler spaceCrofton formulaHolmes-Thompson volume

Mathematics Subject Classification ID

Integral geometry (53C65) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (19)

On Hodge-Riemann relations for translation-invariant valuations ⋮ The Weyl principle on the Finsler frontier ⋮ Crofton formulas in pseudo-Riemannian space forms ⋮ Average number of zeros and mixed symplectic volume of Finsler sets ⋮ The Centro-Affine Hadwiger Theorem ⋮ Unnamed Item ⋮ Convolution of convex valuations ⋮ Magnitude and Holmes–Thompson intrinsic volumes of convex bodies ⋮ Fisher information and matrix-valued valuations ⋮ Rotational Crofton formulae with a fixed subspace ⋮ Integral geometry for the 1-norm ⋮ Log-concavity properties of Minkowski valuations ⋮ Minkowski valuations intertwining the special linear group ⋮ Algebraic Integral Geometry ⋮ Crofton measures and Minkowski valuations ⋮ Unnamed Item ⋮ A Hadwiger-type theorem for the special unitary group ⋮ Minkowski valuations on $L^{p}$-spaces ⋮ $\mathrm{GL}(n)$ contravariant Minkowski valuations

Cites Work

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