Busemann and Feller on Curvature Properties of Convex Surfaces

Author:

Busemann Herbert

Publisher

Springer International Publishing

Reference40 articles.

1. [1] A. D. Alexandrov, Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it, Leningrad State Univ. Annals [Uchenye Zapiski] Math. Ser. 6 (1939), 3–35.

2. [2] S. Altmann and E. L. Ortiz, Mathematics and social utopias in France. Olinde Rodrigues and his times. History of Mathematics Series, No. 28. American Mathematical Society, Providence, RI and London Mathematical Society, London, 2005

3. [3] Wilhelm Blaschke, Vorlesungen über Differentialgeometrie, Band I. Elementare Differentialgeometrie. Springer–Verlag, Berlin, Fourth Edition 1945, Unveränderter Nachdruck der dritten erweiterten Auflage, bearbeitet von Gerhard Thomsen, von 1930.

4. [4] G. Bouligand, Introduction à la géométrie infinitésimale directe, Paris, Gauthier-Villars, 1931.

5. [5] Herbert Busemann, Willy Feller, Krümmungseigenschaften konvexer Flächen, Acta Math. 66, 1936, p. 1–47. English translation by A. A’Campo Neuen: Curvature Properties of Convex Surfaces. Selected Works, Herbert Busemann, Vol. II, p. 235–269.

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1. Geometry in the Twentieth Century: A Return to Euclid – The Work of Herbert Busemann;Handbook of the History and Philosophy of Mathematical Practice;2023

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