Wilhelm Blaschke

Updated on Nov 23, 2023

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Nationality Austrian Role Professor of mathematics Education University of Vienna		Alma mater University of Vienna Fields Mathematics Name Wilhelm Blaschke

Born 13 September 1885 Graz ( 1885-09-13 ) Doctoral students Shiing-Shen Chern Luis Santalo Emanuel Sperner Known for Blaschke product Blaschke selection theorem Blaschke–Santalo inequality Died March 17, 1962, Hamburg, Germany Books Elementare Differentialgeometrie, Projektive Geometrie Similar People Luis Santalo, Shiing‑Shen Chern, Wilhelm Wirtinger, Emanuel Sperner, Felix Klein
Institutions University of Hamburg Doctoral advisor Wilhelm Wirtinger

Wilhelm Johann Eugen Blaschke (13 September 1885 – 17 March 1962) was an Austrian differential and integral geometer.

His students included Shiing-Shen Chern, Luis Santaló, and Emanuel Sperner.

In 1916 Blaschke published one of the first books devoted to convex sets: Circle and Sphere (Kreis und Kugel). Drawing on dozens of sources, Blaschke made a thorough review of the subject with citations within the text to attribute credit in a classical area of mathematics.

In 1933 Blaschke signed the Loyalty Oath of German Professors to Adolf Hitler and the National Socialist State.

Wilhelm Blaschke joined the NSDAP in 1937.

Publications

Kreis und Kugel, Leipzig, Veit 1916; 3rd edn. Berlin, de Gruyter 1956

Vorlesungen über Differentialgeometrie, 3 vols., Springer, Grundlehren der mathematischen Wissenschaften 1921-1929 (vol. 1, Elementare Differentialgeometrie; vol. 2, Affine Differentialgeometrie; vol. 3, Differentialgeometrie der Kreise und Kugeln, 1929)

with G. Bol: Geometrie der Gewebe. Berlin: Springer 1938

Ebene Kinematik. Leipzig: B.G. Teubner 1938, 2nd expanded edn. with Hans Robert Müller, Oldenbourg, München 1956

Nicht-Euklidische Geometrie und Mechanik I, II, III. Leipzig: B.G.Teubner (1942)

Zur Bewegungsgeometrie auf der Kugel. In: Sitzungsberichte der Heidelberger Akademie der Wissenschaften (1948)

Einführung in die Differentialgeometrie. Springer 1950, 2nd expanded edn. with H. Reichardt 1960

with Kurt Leichtweiß: Elementare Differentialgeometrie. Berlin : Springer (5th edn. 1973)

Reden und Reisen eines Geometers. Berlin : VEB Deutscher Verlag der Wissenschaften (1961; 2nd expanded edn.)

Mathematik und Leben, Wiesbaden, Steiner 1951

Griechische und anschauliche Geometrie, Oldenbourg 1953

Projektive Geometrie, 3rd edn, Birkhäuser 1954

Analytische Geometrie, 2nd edn., Birkhäuser 1954

Einführung in die Geometrie der Waben, Birkhäuser 1955

Vorlesungen über Integralgeometrie, VEB, Berlin 1955

Kinematik und Quaternionen. Berlin : VEB Deutscher Verlag der Wissenschaften (1960)

Gesammelte Werke, Thales, Essen 1985

Namesake

A number of mathematical theorems and concepts is associated with the name of Blaschke.

Blaschke selection theorem

Blaschke–Lebesgue theorem

Blaschke product

Blaschke condition

Blaschke–Santaló inequality

Blaschke conjecture: "The only Wiedersehen manifolds in any dimension are the standard Euclidean spheres."

References

Wilhelm Blaschke Wikipedia

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Publications

Namesake

References