The limit map of a homomorphism of discrete Möbius groups

Pekka Tukia

Publications Mathématiques de l'IHÉS (1995)

  • Volume: 82, page 97-132
  • ISSN: 0073-8301

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Tukia, Pekka. "The limit map of a homomorphism of discrete Möbius groups." Publications Mathématiques de l'IHÉS 82 (1995): 97-132. <http://eudml.org/doc/104110>.

@article{Tukia1995,
author = {Tukia, Pekka},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {discrete Möbius groups; Myrberg points; geometrically finite group},
language = {eng},
pages = {97-132},
publisher = {Institut des Hautes Études Scientifiques},
title = {The limit map of a homomorphism of discrete Möbius groups},
url = {http://eudml.org/doc/104110},
volume = {82},
year = {1995},
}

TY - JOUR
AU - Tukia, Pekka
TI - The limit map of a homomorphism of discrete Möbius groups
JO - Publications Mathématiques de l'IHÉS
PY - 1995
PB - Institut des Hautes Études Scientifiques
VL - 82
SP - 97
EP - 132
LA - eng
KW - discrete Möbius groups; Myrberg points; geometrically finite group
UR - http://eudml.org/doc/104110
ER -

References

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  1. [BM] A. F. BEARDON and B. MASKIT, Limit points of Kleinian groups and finite sided fundamental polyhedra, Acta Math., 132 (1974), 1-12. Zbl0277.30017MR48 #11489
  2. [B] F. BONAHON, Bouts des variétés hyperboliques de dimension 3, Ann. Math., 124 (1986), 71-158. Zbl0671.57008MR88c:57013
  3. [CT] J. W. CANNON and W. P. THURSTON, Group invariant Peano curves, Manuscript. 
  4. [FE] H. Federer, Geometric measure theory, Springer-Verlag, 1969. Zbl0176.00801MR41 #1976
  5. [FL] W. J. FLOYD, Group completions and limit sets of Kleinian groups, Inventions math., 57 (1980), 205-218. Zbl0428.20022MR81e:57002
  6. [GM] F. W. GEHRING and G. J. MARTIN, Discrete quasiconformal groups. I, Proc. London. Math. Soc. (3) 55 (1987), 331-358. Zbl0628.30027MR88m:30057
  7. [M] G. J. MARTIN, Infinite group actions on spheres, Rev. Math. Iberoamericana, 4 (1988), 407-451. Zbl0693.57020MR91b:57043
  8. [MT] G. J. MARTIN and P. TUKIA, Convergence and Möbius groups, in Holomorphic Functions and Moduli II, ed. by D. Drasin et al., MSRI Publications 11 (1988), 87-140. Zbl0659.30036MR89m:30095
  9. [MA] B. MASKIT, On boundaries of Teichmüller spaces and on kleinian groups : II, Ann. Math., 91 (1970), 607-639. Zbl0197.06003MR45 #7045
  10. [M1] P. J. MYRBERG, Ein Approximationssatz für die Fuchsschen Gruppen, Acta Math., 57 (1931), 389-401. Zbl0003.06303JFM57.0450.02
  11. [M2] P. J. MYRBERG, Die Kapazität der singulären Menge der linearen Gruppen, Ann. Acad. Sci. Fenn., Ser. A I, 10 (1941), 1-19. Zbl0027.21703JFM67.0287.01
  12. [NE] R. NEVANLINNA, Analytic Functions, Springer-Verlag, 1970. Zbl0199.12501MR43 #5003
  13. [NI] P. J. NICHOLLS, The ergodic theory of discrete groups, London Mathematical Society Lecture Notes Series, 143 (1989). Zbl0674.58001MR91i:58104
  14. [P] S. J. PATTERSON, The limit set of a Fuchsian group, Acta Math., 136 (1976), 241-273. Zbl0336.30005MR56 #8841
  15. [S1] D. SULLIVAN, The density at infinity of a discrete group of hyperbolic motions, Publ. Math. Inst. Hautes Étud. Sci., 50 (1979), 171-202. Zbl0439.30034MR81b:58031
  16. [S2] D. SULLIVAN, Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups, Acta Math., 153 (1984), 259-277. Zbl0566.58022MR86c:58093
  17. [T] W. P. THURSTON, The geometry and topology of three-manifolds, Lecture Notes at the University of Princeton, 1980. 
  18. [T1] P. TUKIA, The Hausdorff dimension of the limit set of a geometrically finite Kleinian group, Acta Math., 152 (1984), 127-140. Zbl0539.30034MR85m:30031
  19. [T2] P. TUKIA, On isomorphisms of geometrically finite Kleinian groups, Publ. Math. Inst. Hautes Étud. Sci., 61 (1985), 171-214. Zbl0572.30036MR87j:30110
  20. [T3] P. TUKIA, A remark on a paper by Floyd, in Holomorphic functions and moduli, II, ed. by D. Drasin et al., MSRI Publications, 11 (1988), 165-172. Zbl0653.30027MR90b:30054
  21. [T4] P. TUKIA, A rigidity theorem for Möbius groups, Inventiones math., 97 (1989), 405-431. Zbl0674.30038MR90i:20051
  22. [T5] P. TUKIA, The Poincaré series and the conformal measure of conical and Myrberg limit points, J. Anal. Math., 62 (1994), 241-259. Zbl0799.30035MR97c:30047
  23. [T6] P. TUKIA, On discrete groups of the unit disk and their isomorphisms, Ann. Acad. Sci. Fenn., Ser. A I, 504 (1972), 1-45. Zbl0225.30022MR46 #5613
  24. [T7] P. TUKIA, On the dimension of limit sets of geometrically finite Möbius groups, Ann. Acad. Sci. Fenn., Ser. A I, 19 (1994), 11-24. Zbl0789.30032MR95i:30035
  25. [T8] P. TUKIA, Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group, Acta Math., 154 (1985), 153-193. Zbl0562.30018MR86f:30024
  26. [T9] P. TUKIA, Convergence groups and Gromov's hyperbolic metric spaces, New Zealand J. Math., 23 (1994), 157-187. Zbl0855.30036MR96c:30042

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