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The determination of convex bodies from their mean radius of curvature functions. (English) Zbl 0161.19302


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[1] Blaschke, Kreis undKugel (1916)
[2] Bonnesen, Theorie der konvexen Körper (1934)
[3] Alexandrov, Doklady Akad. Nauk 14 pp 59– (1937)
[4] Vincensini, Corps convexes. Séries linéaires. Domaines vectoriels. Mem. des Sci. Math (1938) · Zbl 0021.35603
[5] DOI: 10.1007/BF03017835 · Zbl 0017.23001
[6] DOI: 10.1007/BF01452828 · Zbl 0006.17603
[7] Pogorelov, Uspekhi Mat. Nauk 8 pp 127– (1953)
[8] Kubota, Sci. Rep. Tôhoku Univ. 14 pp 399– (1925)
[9] Hurwitz, Ann. École norm!. 13 pp 357– (1902)
[10] Kellogg, Foundations of potential theory (1929) · JFM 55.0282.01
[11] Hilbert, Grundzüge einer allgemeinen Theorie der linearen Integralgieichimgen (1912)
[12] Favard, Acad. royale Belgique, Bull. cl. Sciences 19 pp 65– (1933)
[13] Christoffel, J. für die reine und angew. Math. pp 162– (1910)
[14] Busemann, Convex surfaces (1958)
[15] Alexandrov, Mat. Sbornik 3 pp 27– (1938)
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