Crofton Formulas in Projective Finsler Spaces
نویسندگان
چکیده
We extend the classical Crofton formulas in Euclidean integral geometry to Finsler metrics on Rn whose geodesics are straight lines.
منابع مشابه
Crofton Measures in Polytopal Hilbert Geometries
The Hilbert geometry in an open bounded convex set in R is a classical example of a projective Finsler space. We construct explicitly a positive measure on the space of lines in a polytopal Hilbert geometry which yields an integral geometric representation of Crofton type for the Holmes-Thompson area of hypersurfaces. MSC 2000: 53C60 (primary); 53C65, 52B11 (secondary)
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