Crofton formulas in projective Finsler spaces

DOI10.1090/S1079-6762-98-00053-5zbMath0910.53044OpenAlexW1935191639MaRDI QIDQ4235489

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Publication date: 22 March 1999

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

Full work available at URL: https://eudml.org/doc/224916

zbMATH Keywords

Finsler geometryHilbert's fourth problemCrofton formula

Mathematics Subject Classification ID

Integral geometry (53C65) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (15)

Projectively flat Finsler metrics of constant flag curvature ⋮ The Weyl principle on the Finsler frontier ⋮ Valuations with Crofton formula and Finsler geometry ⋮ Unnamed Item ⋮ Magnitude and Holmes–Thompson intrinsic volumes of convex bodies ⋮ Rotational Crofton formulae with a fixed subspace ⋮ Integral geometry for the 1-norm ⋮ Isometric submersions of Finsler manifolds ⋮ All regular Landsberg metrics are Berwald ⋮ What is wrong with the Hausdorff measure in Finsler spaces ⋮ Algebraic Integral Geometry ⋮ Average linking with complex subspaces ⋮ Minimality of totally geodesic submanifolds in Finsler geometry ⋮ The Santaló point for the Holmes-Thompson boundary area ⋮ On the Kähler form of complex \(L^{p}\) space and its Lagrangian subspaces

Cites Work

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• Areas in affine spaces. III: The integral geometry of affine area
• Hilbert's fourth problem. I
• N-dimensional area and content in Minkowski spaces
• Lagrangians satisfying Crofton formulas, Radon transforms, and nonlocal differentials
• Integral geometry in Minkowski spaces
• Geometries in which the planes minimize area

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