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Intermediate Christoffel-Minkowski problems for figures of revolution. (English) Zbl 0201.55102


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[1] A. D. Aleksandrov,Zur Theorie der gemischten Volumina von konvexen Körper, III.Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf beliebige konvexe Flächen, Mat. Sb. N.S.3 (1938), 27–46 (Russian with German summary.) · Zbl 0018.42402
[2] C. Berg,Corps convexes et potentiels sphériques, Det Kgl. Danske Videnskab. Selskab, Math. -fys. Medd.37 (1969), 6. · Zbl 0181.38303
[3] T. Bonnesen and W. Fenchel,Theorie der konvexen Körper, Berlin, 1934. · Zbl 0008.07708
[4] H. Buseman,Convex surfaces, New York, 1958.
[5] W. Firey,Blaschke sums of convex bodies and mixed convex bodies, Proc. Coll. on Convexity, Copenhagen 1965, Copenhagen 1967, 94–101. · Zbl 0128.16404
[6] W. Firey,The determination of convex bodies from their mean radius of curvature functions, Mathematika14 (1967), 1–14. · Zbl 0161.19302
[7] W. Firey,Christoffel’s problem for general convex bodies, Mathematika15 (1968), 7–21. · Zbl 0162.54303
[8] W. Fenchel and J. Jessen,Mengenfunktionen und konvexe Körper, Det Kgl. Danske Videnskab, Selskab, Math.-fys. Medd.16 (1938), 3.
[9] B. Grünbaum,Convex polytopes, New York, 1967. · Zbl 0163.16603
[10] Z. Nádeník,Erste Krümmungsfunktion der Rotationseiflächen, Časopis Pěst. Mat.93 (1968), 127–133.
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