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An integral-geometric meaning for lower order area functions of convex bodies. (English) Zbl 0258.52003


MSC:

52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)
28A75 Length, area, volume, other geometric measure theory
53C65 Integral geometry
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References:

[1] Firey, Pacific J. Math. 35 pp 345– (1970) · Zbl 0197.48402
[2] Fenchel, Det Kgl. Danske Videnskab. Selskab, Mat.-fys 16 pp 3– (1938)
[3] Bonnesen, Theorie der konvexen Körper (1934)
[4] Blaschke, Integralgeometrie (1935)
[5] Flanders, Differential forms (1963) · Zbl 0112.32003
[6] Santaló, Introduction to Integral Geometry (1953)
[7] DOI: 10.1007/BF01597376 · Zbl 0020.26102
[8] Kowalewski, Einführung in die Determinantentheorie (1942)
[9] Hadwiger, Vorlesungen überlnhalt, Oberfläche und Isoperimetrie (1957) · Zbl 0078.35703
[10] DOI: 10.1007/BF02940729 · Zbl 0014.12601
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