Hugo Gieseking

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Hugo Gieseking (born June 17, 1887 in Laar ; † February 23, 1915 in France ) was a German mathematician who dealt with topological groups . The Gieseking manifold and the Gieseking constant are named after him.

Life

Gieseking was born as the son of a primary school teacher in Laar in the Herford district. He attended the Friedrichs-Gymnasium Herford from 1900 to 1907 , where he completed his school education with a school leaving certificate . He then studied classical philology for one semester at the Bergakademie Freiberg , before devoting himself to studying pure and applied mathematics and physics for seven semesters at the universities of Münster and Göttingen . After completing his studies, at the suggestion of Max Dehn , he wrote his dissertation on the subject of “Analytical investigations on topological groups” with Wilhelm Killing at the University of Münster, which he submitted there in 1912.

In his dissertation he constructed the Gieseking manifold , a manifold whose fundamental group contains an isomorphic copy of the eight-knot group as a subgroup with index two. He created this manifold by fusing the side faces of a regular ideal tetrahedron in hyperbolic space in pairs . (An ideal tetrahedron in hyperbolic space is a tetrahedron whose 4 vertices are at infinity on the edge .) Later it turned out that the Gieseking manifold is the unambiguous non-compact hyperbolic 3-manifold with minimal volume . This volume, which is also the maximum volume for all hyperbolic tetrahedra, is called Gieseking's constant .

After his Rigorosum in May 1912 and his doctorate in November 1912, Gieseking completed the academic teaching state examination. From April 1913 he was a student trainee , from 1914 he then did military service . He fell on the Western Front on February 23, 1915 during the First World War .

Works

  • Hugo Gieseking: Analytical studies on topological groups . L. Wiegand, Hilchenbach 1912 ( umich.edu - inaugural dissertation at the Westphalian Wilhelms University of Münster; yearbook review ).

Individual evidence

  1. ^ A b Renate Tobies : Biographical Lexicon in Mathematics for PhD persons . Ed .: Menso Folkerts. No. 58 . Dr. Erwin Rauner Verlag, Augsburg 2006 ( online ).
  2. Hugo Gieseking: Analytical investigations on topological groups. P. 248.
  3. Ioan Mackenzie James: History of Topology . Elsevier, 1999, p. 343 .
  4. ^ Colin C. Adams: The noncompact hyperbolic 3-manifold of minimal volume . In: Proceedings of the AMS . No. 100 , August 1987, pp. 601–606 (English, Zentralblatt review ).
  5. ^ Colin C. Adams: The newest inductee in the number hall of fame . In: Mathematics Magazine . No. 71 , December 1998, p. 341–349 (English, Zentralblatt review ).