Gerrit Bol (May 29, 1906 in Amsterdam – February 21, 1989 in Freiburg) was a Dutch mathematician who specialized in geometry. He is known for introducing Bol loops in 1937,[1] and Bol’s conjecture on sextactic points.[2]

Gerrit Bol
Gerrit Bol in 1970
Born(1906-05-29)29 May 1906
Died21 February 1989(1989-02-21) (aged 82)
CitizenshipNetherlands
Alma materLeiden University, 1928
Known forBol loop, Bol's conjecture
Scientific career
FieldsMathematics
InstitutionsLeiden University, University of Hamburg, University of Freiburg
Doctoral advisorWillem van der Woude
Doctoral studentsMartin Barner

Life edit

Bol earned his PhD in 1928 at Leiden University under Willem van der Woude. In the 1930s, he worked at the University of Hamburg on the geometry of webs under Wilhelm Blaschke and later projective differential geometry. In 1931 he earned a habilitation.

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

In 1942–1945 during World War II, Bol fought on the Dutch side, and was taken prisoner. On the authority of Blaschke, he was released. After the war, Bol became professor at the Albert-Ludwigs-University of Freiburg, until retirement there in 1971.

Works edit

  • G. Bol (1934). "Über Drei-Gewebe im vierdimensionalen Raum". Vol. 110. Mathematische Annalen. pp. 431–463.
  • G. Bol (1938). "mit Wilhelm Blaschke: Geometrie der Gewebe. Topologische Fragen der Differentialgeometrie". Julius Springer, Berlin.
  • G. Bol (1942). "Über Eikörper mit Vieleckschatten". Vol. 48. Mathematische Zeitschrift. pp. 227–246.
  • G. Bol (1948). Elemente der analytischen Geometrie. Vol. 1. Vandenhoeck & Ruprecht, Göttingen.
  • G. Bol (1949). Elemente der analytischen Geometrie. Vol. 2. Vandenhoeck & Ruprecht, Göttingen.
  • G. Bol (1950). Projektive Differentialgeometrie. Vol. 1. Vandenhoeck & Ruprecht, Göttingen.
  • G. Bol (1954). Projektive Differentialgeometrie. Vol. 2. Vandenhoeck & Ruprecht, Göttingen.
  • G. Bol (1967). Projektive Differentialgeometrie. Vol. 3. Vandenhoeck & Ruprecht, Göttingen.

References edit

  1. ^ "Gewebe und Gruppen". Mathematische Annalen. Vol. 114. 1937. pp. 414–431.
  2. ^ "On a conjecture of G. Bol". Math SCAND. Vol. 40. 1977. pp. 194–196. Archived from the original on 2013-11-03.

External links edit