Wilhelm Klingenberg (mathematician)

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Wilhelm Paul Albert Klingenberg (born January 28, 1924 in Rostock , † October 14, 2010 in Röttgen (Bonn) ) was a German mathematician .

Klingenberg in Erlangen 1978

Life

Klingenberg was born in Rostock in 1924 as the son of a Protestant pastor . In 1934 the family moved to Berlin and Klingenberg was drafted into the Wehrmacht after completing his secondary school diploma in 1941 at the Joachimsthalschen Gymnasium in Templin . After the end of the war, he studied mathematics in Kiel , where he received his doctorate on affine differential geometry under Karl-Heinrich Weise in 1950 and then became Friedrich Bachmann's assistant . After stations in Hamburg with Wilhelm Blaschke with habilitation in 1954, a stay at the University of Rome(among others with Francesco Severi , Beniamino Segre ) he was a research assistant and private lecturer in Göttingen (with Kurt Reidemeister ), where he stayed until 1963. In 1954/55 he was in Bloomington / Indiana , where he also visited Marston Morse in Princeton . In 1956/57 and 1957/58 he accepted his invitation to the Institute for Advanced Study in Princeton. In 1962 he was invited by Shiing-Shen Chern , whom he still knew from Hamburg, to the University of California, Berkeley . He was then a C4 professor at Johannes Gutenberg University Mainz and from 1966 a C4 professor and professor at the University of Bonn . There he was retired in 1989.

In 2001 he received an honorary doctorate from the Faculty of Mathematics and Computer Science at the University of Leipzig , where he was visiting professor in 1990/91. He was a full member of the Academy of Sciences and Literature in Mainz. In 1966 he was invited speaker at the ICM in Moscow (Morse theory on the closed curve space).

Klingenberg was born in 1953 with Christine Klingenberg. Kob is married and has two sons and a daughter. His brother is the biochemist Martin Klingenberg ( University of Munich ).

Klingenberg played the piano and collected Chinese bronzes.

Act

His specialties are geometry , differential geometry , and Riemannian geometry . Besides many individual works, he published several textbooks. After preliminary work by Harry Rauch (1951), he and Marcel Berger proved the Spheres Theorem around 1960 : A simply connected manifold with a curvature of intersection is homeomorphic to the sphere. His doctoral students include Hans Werner Ballmann ( University of Bonn ), Ursula Hamenstädt (University of Bonn), Ernst Heintze ( University of Augsburg ), Jost-Hinrich Eschenburg (University of Augsburg), Gudlaugur Thorbergsson ( University of Cologne ) and Wolfgang Ziller ( University of Pennsylvania ).

Fonts

  • Classic differential geometry. An introduction to Riemannian geometry, edition at Gutenbergplatz Leipzig, Leipzig 2004 EAGLE 016: [1]
  • Selected Papers of Wilhelm Klingenberg, World Scientific 1991
  • Riemannian Geometry, de Gruyter 1982, 2nd edition 1995
  • Linear algebra and geometry, Springer 1984
  • Linear Algebra and Analytical Geometry, BI University Pocket Book, 2 volumes, 1971, 1972
  • Fundamentals of Geometry, BI University Pocket Book 1971
  • Lectures on Closed Geodesics, Springer 1978
  • with Detlef Gromoll , Wolfgang Meyer: Riemannsche Geometrie im Großes, Springer, 1968, 2nd edition 1975
  • A Course in Differential Geometry, Springer 1983
  • A lecture on differential geometry, Springer 1973
  • The triangle theorem in Riemannian Geometry, Recife 1964
  • "New methods and results in Riemannian geometry", Annual Report DMV, Vol. 66, 1964, pp. 85–94
  • Tibet experiences on the roof of the world, Insel Verlag, Frankfurt am Main 1997, Frederking and Thaler, Munich 2001

literature

  • Wilhelm Klingenberg , in: Kürschner's German Scholars Calendar 2003. 19th edition. Volume II: K - Scho. Bio-bibliographical directory of contemporary German-speaking scientists . KG Saur, Munich 2003, ISBN 3-598-23607-7 , p. 1651
  • Jost-Hinrich Eschenburg: Wilhelm Klingenberg, 1924–2010 , Annual Report of the German Mathematicians Association, Volume 114, Issue 3, 2012, pp. 163–170, doi : 10.1365 / s13291-012-0041-3

Web links

Individual evidence

  1. ^ Obituary at the University of Leipzig
  2. ^ The related work by Klingenberg: Contributions to Riemannian Geometry in the Large , Annals of Mathematics, Volume 69, 1959, pp. 654–666, About Riemann manifolds with positive curvature , Comm. Math. Helvetici, Volume 35, 1961, pp. 47-54
personal data
SURNAME Klingenberg, Wilhelm
ALTERNATIVE NAMES Klingenberg, Wilhelm Paul Albert
BRIEF DESCRIPTION German mathematician and author
DATE OF BIRTH January 28, 1924
PLACE OF BIRTH Rostock
DATE OF DEATH October 14, 2010
Place of death Röttgen (Bonn)