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A new proof of Blaschke’s ellipsoid theorem. (English. Russian original) Zbl 1052.51001

Mosc. Univ. Math. Bull. 58, No. 3, 6-10 (2003); translation from Vestn. Mosk. Univ., Ser. I 2003, No. 3, 17-22, 92 (2003).

The author presents a new elementary proof of the Blaschke theorem on ellipsoids as a surface with plane shadow boundaries [W. Blaschke, Circle and sphere. (Russian; translated from the German) Moscow: Nauka (1967; Zbl 0153.23601)]. The proof is carried out for the complex case and is simplified in the real case.

Reviewer: E. Ya. Smirnov (St. Petersburg)

Cited in 1 Document

MSC:

51B05	General theory of nonlinear incidence geometry
51M04	Elementary problems in Euclidean geometries

Citations:

Zbl 0153.23601

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