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词条 Kurt Strebel
释义

  1. Education and career

  2. Strebel differential

  3. Selected publications

     Books  Articles 

  4. References

  5. External links

Kurt Strebel (20 April 20 1921, Wohlen, Aargau – 26 October 2013, Zurich) was a Swiss mathematician, specializing in geometric function theory.

Education and career

Strebel received in 1953 his PhD from the University of Zurich under Rolf Nevanlinna with thesis Über das Kreisnormierungsproblem der konformen Abbildung (On the circle normalization problem of conformal mapping).[1] From 1953 to 1955 he was at the Institute for Advanced Study and at Stanford University. He became a professor at the University of Fribourg in 1955 and then successor to Nevanlinna at the University of Zurich in 1963.

Strebel founded the Nevanlinna Colloquium in Zurich (later also elsewhere) with another of Nevanlinna's former students, the professor Hans Künzi, to maintain contacts with Nevanlinna.[2] The Nevanlinna Colloquium is usually held in Europe and covers most of classical complex analysis.[3]

In 1977 Strebel was elected a member of the Finnish Academy of Sciences. He was an Invited Speaker at the ICM in 1974 in Vancouver.[4]

Named in his honor is the Strebel differential in the Teichmüller theory.

Strebel differential

{{blockquote|{{underline|Definition}} A meromorphic quadratic differential is a Strebel differential if the union of its compact leaves forms a set of measure 0.[5]}}

Selected publications

Books

  • Vorlesungen über Riemannsche Flächen, Vandenhoeck und Ruprecht, 1980.
  • [https://books.google.com/books/about/Quadratic_Differentials.html?id=hiI96XVWdb0C Quadratic Differentials.] Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer Verlag, 1984.[6]

Articles

  • On the maximal dilation of quasiconformal mappings. Proc. AMS, 6, 1955, 903–909. {{doi|10.1090/S0002-9939-1955-0073702-X}}
  • Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises. Comm. Math. Helv. 36, 1962, 306-323, Part 1 of article {{doi|10.1007/BF02566904}}, Comm. Math. Helv. 39, 1964, 77-89, Part 2 of article {{doi|10.1007/BF02566945}}
  • Über quadratische Differentiale mit geschlossenen Trajektorien und extremale quasikonforme Abbildungen. in Festband zum 70. Geburtstag von Rolf Nevanlinna, Springer Verlag, 1966, 105–127. {{doi|10.1007/978-3-642-86699-9_13}}
  • with Edgar Reich: On quasiconformal mappings which keep the boundary points fixed. Trans. Amer. Math. Soc. 138, 1969, 211–222. {{doi|10.1090/S0002-9947-1969-0237778-3}}
  • with Edgar Reich: Extremal plane quasiconformal mappings with given boundary values. Bull. Amer. Math. Soc. 79, 1973, 488–490. {{doi|10.1090/S0002-9904-1973-13232-X}}
  • with Edgar Reich: Extremal quasiconformal mappings with given boundary values. in Contributions to Analysis. A collection of papers dedicated to Lipman Bers. Academic Press, 1974, 375–391. {{doi|10.1016/B978-0-12-044850-0.50035-6}}

References

1. ^ {{MathGenealogy|id=57470}}
2. ^{{cite book|author=Strebel, Kurt|chapter=Rolf Nevanlinna in Zurich|title=mathch/100|publisher=European Mathematical Society|year=2010|pages=471–485|chapter-url=http://www.ems-ph.org/books/show_abstract.php?proj_nr=120&vol=1&rank=21}}
3. ^{{cite book|title=Lipa's Legacy: Proceedings of the Bers Colloquium, October 19–20, 1995|page=vii|url=https://books.google.com/books?id=u9gaCAAAQBAJ&pg=PR7|isbn=9780821806715|author1=Dodziuk|first1=Józef|last2=Keen|first2=Linda|year=1997}}
4. ^Strebel, Kurt. "On quadratic differentials and extremal quasi-conformal mappings." In Proceedings of the International Congress of Mathematicians, vol. 2, p. 223. Canadian Mathematical Congress, 1975.
5. ^{{cite arxiv|author=Tynan, Philip|title=Explicit Examples of Strebel Differentials|eprint=0910.4752|year=2009|class=math.DG}}
6. ^{{cite journal|author=Masur, Howard|authorlink=Howard Masur|title=Review: Quadratic differentials by Kurt Strebel|journal=Bull. Amer. Math. Soc. (N.S.)|volume=12|issue=2|date=April 1985|pages=265–267|url=http://www.ams.org/journals/bull/1985-12-02/S0273-0979-1985-15372-8/S0273-0979-1985-15372-8.pdf}}

External links

  • Strebel in Zurich
  • Nekrologe, University of Zurich 2013
{{authority control}}{{DEFAULTSORT:Strebel, Kurt}}

6 : University of Zurich alumni|University of Fribourg faculty|University of Zurich faculty|20th-century Swiss mathematicians|1921 births|2013 deaths

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