Rolf Lingenberg

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Rolf Lingenberg, 1972, TH-Darmstadt

Rolf Lingenberg (born January 2, 1929 in Danzig -Langfuhr, † December 5, 1978 in Karlsruhe ) was a German mathematician who dealt with geometry .

Life

Lingenberg was the son of a senior teacher in mathematics. The family fled from Danzig to Kiel at the end of the Second World War and Lingenberg studied mathematics, physics, chemistry and philosophy at the Christian-Albrechts-Universität zu Kiel from 1949 , where he received his doctorate in 1955 under Friedrich Bachmann ( justification of the absolute geometry of the plane ) . After that, he was an assistant at the Technical University of Hanover in Theodor Kaluza . In 1958 he completed his habilitation ( on groups with an invariant system of involutorial generators in which the general principle of the three reflections applies ) and he was then a private lecturer in Hanover. After a short time at theAlbert Ludwig University of Freiburg , he became a professor at the TU Darmstadt in 1964 , where he was dean in 1969/70 and rector in 1970/71. In October 1972 he became a professor at the TH Karlsruhe . He has been visiting professor in Canada (Toronto, Regina) several times.

plant

Lingenberg initially dealt with the structure of geometry on the concept of reflection ( including absolute geometry , Euclidean and non-Euclidean geometry) in the sense of his teacher Bachmann . In his habilitation, he introduced S groups with which he treated the axiomatic structure of absolute geometry. They consist of a group G and an involutive system of generators S, whereby the theorem of the three reflections (axiom S) applies. In Karlsruhe he also had a joint seminar with philosophers ( Hans Lenk ) on mathematical questions of philosophy (problems of space) and headed a philosophy of mathematics section at the World Congress for Philosophy in Düsseldorf in 1978.

He was an associate editor of the Journal of Pure and Applied Mathematics and the Journal of Geometry.

Private

He had been married to the theologian Annegret Lingenberg since 1966 and had three children, including the musician and classical philologist Wilfried Lingenberg and the sound engineer Rolf D. Lingenberg; his brother was the historian Heinz Lingenberg . In his private life he played the violin in a string quartet and composed. He is buried in Falcon's buttocks , where he had a weekend house.

Fonts

  • with A. Baur Affine and projective planes , in Heinrich Behnke a . a. Fundamentals of Mathematics , Vandenhoeck and Ruprecht, Volume 2
  • with Peter Scherk Rudiments of affine geometry , University of Toronto Press 1975
  • Metric planes and metric vector spaces , Wiley 1979
  • Lineare Algebra , BI University Pocket Book 1969
  • Basics of Geometry I , BI University Pocket Book 1969, 2nd edition 1976
  • Introduction to Linear Algebra , BI University Pocket Book 1976
  • Metric geometry of the plane and S-groups , annual report DMV, Volume 69, 1966, pp. 9-50, online

literature

Friedrich Bachmann , Wolfgang Nolte Rolf Lingenberg. Mensch und Researcher , Annual Report DMV, Volume 85, 1983, pp. 107–112, Online (PDF; 8.2 MB)

Individual evidence

  1. Published in two parts in the Mathematische Annalen, Volume 137, 1959, pp. 26–41, 83–106, Part 1 , Part 2 . Part 3 appeared in Math. Annalen, Volume 142, 1961, pp. 184-224, Part 4 in Math. Annalen, Volume 159, 1965, pp. 297-325