Wilhelm Klingenberg

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

Life

Klingenberg came in 1924 in Rostock as the son of a Protestant minister to the world. 1934 the family moved to Berlin and Klingenberg was drafted after his Notabiturprüfung 1941 at Joachimsthal school in Templin the Wehrmacht. After the war he studied mathematics in Kiel, where Karl -Heinrich, he received his doctorate in 1950 on affine differential geometry, and then was an assistant of Friedrich Bachmann. After working in Hamburg at Wilhelm Blaschke with habilitation in 1954, a stay at the University of Rome (amongst others with Francesco Severi, Beniamino Segre ), he was a research assistant and lecturer in Göttingen ( with Kurt Reidemeister ), where he remained until 1963. In 1954/55 he was in Bloomington / Indiana, where he attended Marston Morse, Princeton. In 1956/ 57 and 1957/58 he was succeeded by his invitation to the Institute for Advanced Study at Princeton. In 1962 he was invited by Shiing - Shen Chern, whom he knew from Hamburg, at the University of California, Berkeley. After that, he was a C4 professor at the Johannes Gutenberg University of Mainz and from 1966 C4 professor and chair at the University of Bonn. There he became Professor Emeritus in 1989.

He became an honorary doctorate from the Faculty of Mathematics and computer science at the University of Leipzig, where he was in 1990/91 Visiting Professor in 2001. He was a full member of the Academy of Sciences and Literature in Mainz. Klingenberg was married since 1953, born to Christine Klingenberg Kob and has two sons and a daughter. His brother is the biochemist Martin Klingenberg (University of Munich ). In 1966 he was invited speaker at the ICM in Moscow ( Morse theory on the space of closed curves ). Klingenberg played piano and collected Chinese bronzes.

Work

His areas of expertise are geometry, differential geometry, and Riemannian geometry. In addition to many individual works, he published several textbooks. After preliminary work by Harry Rauch ( 1951), he proved around 1960 by Marcel Berger spheres set: A simply connected manifold with sectional curvature is homeomorphic to the sphere. His doctoral include Hans Werner Ballmann ( University of Bonn ), Wolfgang Meyer ( University of Münster), 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 ).

Writings

  • Classical differential geometry. An Introduction to Riemannian Geometry, Edition on Gutenbergplatz Leipzig, Leipzig 2004 EAGLE 016:
  • 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 paperback, 2 volumes, 1971, 1972
  • Foundations of geometry, BI university paperback 1971
  • Lectures on Closed Geodesics, Springer 1978
  • Detlef Gromoll, Wolfgang Meyer: Riemannian geometry in the large, 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, Bd.66, 1964, p.85 -94
  • Tibet experiences on top of the world, Insel Verlag, Frankfurt am Main 1997, Frederking and Thaler, Munich 2001
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