Crofton formulas in projective Finsler spaces
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Publication:4235489
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
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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