Pekka Tukia

Pekka Tukia i​st ein finnischer Mathematiker, d​er sich m​it Kleinschen Gruppen befasst u​nd deren geometrischen Eigenschaften (wie Limesmengen).

Tukia w​urde 1972 i​n Helsinki b​ei Kaarlo Virtanen promoviert (On Discrete Groups o​f the Unit Disk a​nd their Isomorphisms).[1] Er i​st Professor a​n der Universität Helsinki.

Er leistete wesentliche Vorarbeiten z​um Beweis d​er Seifert-Faserraum-Vermutung. 1992 w​ar er eingeladener Sprecher a​uf dem Europäischen Mathematikerkongress i​n Paris (Generalizations o​f Fuchsian a​nd Kleinian groups). 1994 w​ar er eingeladener Sprecher a​uf dem Internationalen Mathematikerkongress i​n Zürich (A survey o​f Möbius groups).

Schriften (Auswahl)
  • On two dimensional quasiconformal groups, Ann. Acad. Sci. Fennica, Ser. A, Band 5, 1980, S. 73–78
  • A quasiconformal group not isomorphic to the Möbius group, Ann. Acad. Sci. Fennica, Ser. A, Band 6, 1981, S. 149–160
  • The Hausdorff dimension of the limit set of a geometrically finite Kleinian groups, Acta Mathematica, Band 152, 1984, S. 127–140
  • On limit sets of geometrically finite Kleinian groups, Mathematica Scandinavica, Band 57, 1985, S. 29–43, Online
  • Differentiability and rigidity of Möbius groups, Inventiones Mathematicae, Band 82, 1985, S. 557–578
  • Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group, Acta Mathematica, Band 154, 1985, S. 153–193
  • On isomorphisms of geometrically finite Möbius groups, Pub. Math. IHES, Band 61, 1985, S. 171–214 doi:10.1007/BF02698805
  • On quasiconformal groups, J. Anal. Math., Band 46, 1986, S. 318–346
  • A rigidity theorem for Möbius groups, Inventiones Mathematicae, Band 97, 1989, S. 405–431
  • The Hausdorff dimension of quasisymmetric mappings, Mathematica Scandinavica, Band 65, 1989, S. 152–160 JSTOR 24492095
  • Mostow rigidity and non compact hyperbolic manifolds, Quart. J. Math., Oxford, Band 42, 1991, S. 219–226
  • Convergence groups and Gromov's metric hyperbolic spaces. In: New Zealand Journal of Mathematics, Band 23, 1994, S. 157–187
  • Teichmüller sequences on trajectories invariant under a Kleinian group, Journal d'Analyse Mathématique, Band 99, 2006, S. 35–87
  • Limits of Teichmüller maps, Journal d'Analyse Mathematique, Band 125, 2015, S. 71–111
  • mit James W. Anderson, Kurt Falk: Conformal measures associated to ends of hyperbolic n-manifolds, Quarterly Journal of Mathematics, Band 58, 2007, S. 1–15, Arxiv

Einzelnachweise
  1. Pekka Tukia im Mathematics Genealogy Project (englisch) Vorlage:MathGenealogyProject/Wartung/id verwendet
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