Wilhelm Blaschke Explained

Wilhelm Blaschke
Birth Date:13 September 1885
Birth Place:Graz
Death Place:Hamburg
Nationality:Austrian
Fields:Mathematics
Workplaces:University of Hamburg
Alma Mater:University of Vienna
Doctoral Advisor:Wilhelm Wirtinger
Doctoral Students:Shiing-Shen Chern
Luis Santaló
Emanuel Sperner
Gerhard Thomsen
Notable Students:Alberto Dou Mas de Xaxàs
Known For:Blaschke product
Blaschke selection theorem
Blaschke–Santaló inequality

Wilhelm Johann Eugen Blaschke (13 September 1885 – 17 March 1962) was an Austrian mathematician working in the fields of differential and integral geometry.

Education and career

Blaschke was the son of mathematician Josef Blaschke, who taught geometry at the Landes Oberrealschule in Graz.After studying for two years at the Technische Hochschule in Graz, he went to the University of Vienna, and completed a doctorate in 1908 under the supervision of Wilhelm Wirtinger. His dissertation was Über eine besondere Art von Kurven vierter Klasse.

After completing his doctorate he spent several years visiting mathematicians at the major universities in Italy and Germany. He spent two years each in positions in Prague, Leipzig, Göttingen, and Tübingen until, in 1919, he took the professorship at the University of Hamburg that he would keep for the rest of his career. His students at Hamburg included Shiing-Shen Chern, Luis Santaló, and Emanuel Sperner.

In 1933 Blaschke signed the Vow of allegiance of the Professors of the German Universities and High-Schools to Adolf Hitler and the National Socialistic State.[1] However, he defended Kurt Reidemeister against the Nazis and, in the early 1930s, campaigned against Ludwig Bieberbach for leadership of the German Mathematical Society, arguing that the society should remain international and apolitical in opposition to Bieberbach's wish to "enforce Nazi policies on German mathematics and race". However, by 1936 he was supporting Nazi policies, called himself "a Nazi at Heart", and was described by colleagues as "Mussolinetto" for his fascist beliefs. He officially joined the Nazi Party in 1937.[2]

After the war, Blaschke was removed from his position at the University of Hamburg for his Nazi affiliation, but after an appeal his professorship was restored in 1946. He remained at the university until his retirement in 1953.

Publications

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.

Eponyms

Blaschke's name has been lent as an eponym to a number of mathematical theorems and concepts:

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

See also

Notes and References

  1. [Ernst Klee]
  2. Heinrich Behnke (1898-1979): zwischen Mathematik und deren Didaktik, Uta Hartmann, 2009
  3. Groß, Wilhelm. Wilhelm Gross. Kreis und Kugel: von Dr. Wilhelm Blaschke. Veit & Comp., Leipzig 1916, 169 S. 650 Mark. Monatshefte für Mathematik und Physik. 28. 1917. A4. 10.1007/BF01698249.
  4. Bliss, G. A.. Gilbert Ames Bliss. Blaschke on Differential Geometry. Bull. Amer. Math. Soc.. 1923. 29. 7. 322–325. 10.1090/S0002-9904-1923-03737-3 . free.
  5. Walker, R. J.. Review: W. Blaschke and G. Bol, Geometrie der Gewebe. Bull. Amer. Math. Soc.. 1939. 45. 9. 652–653. 10.1090/s0002-9904-1939-07052-3. free.
  6. Synge, J. L.. John Lighton Synge. Review: W. Blaschke, Eben Kinematik. Bull. Amer. Math. Soc.. 1939. 45. 11. 814–815. 10.1090/s0002-9904-1939-07071-7. free.
  7. Allendoerfer, Carl B.. Review, W. Blaschke, Einführung in die Differentialgeometrie. Bull. Amer. Math. Soc.. 1951. 57. 1, Part 1. 84–85. 10.1090/s0002-9904-1951-09454-9. free.
  8. Hsiung, C. C.. Chuan-Chih Hsiung. Review: W. Blaschke, Einführung in die Geometrie der Waben. Bull. Amer. Math. Soc.. 1957. 63. 3. 203–204. 10.1090/s0002-9904-1957-10104-9. free.
  9. review of Gesammelte Werke, Band I by Wilhelm Blaschke, edited by W. Burau, S. S. Chern et al.. Willmore, Tom. Proceedings of the Edinburgh Mathematical Society. 27. 3. October 1984. 347–349. 10.1017/S0013091500022549.