Pekka Tukia Explained

Pekka Pertti Tukia (born 3 November 1945 in Pihtipudas^[1]) is a Finnish mathematician^[2] who does research on Kleinian groups and their geometric properties (such as limit sets).

Tukia received his PhD in 1972 with thesis advisor Kaarlo Virtanen in Helsinki. Tukia is a professor at the University of Helsinki.

He made substantial contributions to the collective work of about a dozen mathematicians who proved the Seifert fiber space conjecture.^[3] In 1992 he was an invited speaker with talk Generalizations of Fuchsian and Kleinian groups at the European Congress of European Mathematicians in Paris. In 1994 he was an invited speaker with talk A survey of Möbius groups at the International Congress of Mathematicians in Zürich.

Selected publications

• On two dimensional quasiconformal groups . Annales Academiæ Scientiarum Fennicæ . Series A . 5 . 1980 . 73–78 . 10.5186/aasfm.1980.0530 . free . 10.1.1.732.909 . Tukia . Pekka .
• A quasiconformal group not isomorphic to the Möbius group . Annales Academiæ Scientiarum Fennicæ . Series A . 6 . 1981 . 149–160 . 10.5186/aasfm.1981.0625 . free . Tukia . Pakka .
• The Hausdorff dimension of the limit set of a geometrically finite Kleinian groups . . 152 . 1984 . 127–140 . 10.1007/BF02392194 . free . Tukia . Pekka .
• On limit sets of geometrically finite Kleinian groups . Mathematica Scandinavica . 57 . 1985 . 29–43 . 10.7146/math.scand.a-12104 . free . Tukia . Pekka .
• Differentiability and rigidity of Möbius groups . Inventiones Mathematicae . 82 . 1985 . 557–578 . 10.1007/BF01388870 . Tukia . Pekka . 3 . 1985InMat..82..557T . 123260399 .
• Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group . . 154 . 3–4 . 1985 . 153–193 . 10.1007/BF02392471 . free . Tukia . Pekka .
• On isomorphisms of geometrically finite Möbius groups . . 61 . 1985 . 171–214 . 10.1007/BF02698805 . free. Tukia . Pekka .
• On quasiconformal groups . . 46 . 1986 . 318–346 . 10.1007/BF02796595 . Tukia . Pekka . 120093947 .
• A rigidity theorem for Möbius groups . Inventiones Mathematicae . 97 . 1989 . 405–431 . 10.1007/BF01389048 . Tukia . P. . 2 . 1989InMat..97..405T . 121594611 .
• Hausdorff dimension of quasisymmetric mappings . Mathematica Scandinavica . 65 . 1989 . 152–160 . 24492095 . 10.7146/math.scand.a-12274 . free . Tukia . Pekka . 1 .
• Mostow-rigidity and non-compact hyperbolic manifolds . Quarterly Journal of Mathematics . 42 . 1 . 1991 . 219–226 . 10.1093/qmath/42.1.221 . Tukia . Pekka .
• Convergence groups and Gromov's metric hyperbolic spaces . New Zealand Journal of Mathematics . 23 . 1994 . 157–187.
• Teichmüller sequences on trajectories invariant under a Kleinian group . . 99 . 2006 . 35–87 . 10.1007/BF02789442 . Tukia . Pekka . 121882279 .
• Limits of Teichmüller maps . . 125 . 2015 . 71–111 . 10.1007/s11854-015-0003-7 . Tukia . Pekka . 255398787 .
• with James W. Anderson and Kurt Falk: Conformal measures associated to ends of hyperbolic n-manifolds . Quarterly Journal of Mathematics . 58 . 2007 . 1–15 . math/0409582 . 10.1093/qmath/hal019 . Anderson . James W. . Falk . Kurt . Tukia . Pekka .

References

1. Book: Ellonen, Leena . Suomen professorit 1640–2007 Finlands professorer . 753 . Helsinki . Professoriliitto . 2008 . 978-952-99281-1-8 . Finnish, Swedish .
2. Web site: Tukia, Pekka. University of Helsinki .
3. Préaux, Jean-Philippe. A survey on Seifert fibre space conjecture. 1202.4142. 2012. math.AT.