메뉴 건너뛰기




Volumn 348, Issue 5, 1996, Pages 1757-1769

Groups quasi-isometric to complex hyperbolic space

Author keywords

Complex hyperbolic space; Geometric group theory; Heisenberg group; Quasiconformal mappings

Indexed keywords


EID: 21344454786     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-96-01522-x     Document Type: Article
Times cited : (27)

References (23)
  • 1
    • 0011023860 scopus 로고
    • A characterization of cocompact hyperbolic and finite-volume hyperbolic groups in dimension three
    • [C-C] MR 92f:22017
    • [C-C] J. W. Cannon and D. Cooper, A characterization of cocompact hyperbolic and finite-volume hyperbolic groups in dimension three, Trans. Amer. Math. Soc. 330 (1992), 419-431. MR 92f:22017
    • (1992) Trans. Amer. Math. Soc. , vol.330 , pp. 419-431
    • Cannon, J.W.1    Cooper, D.2
  • 2
    • 34249770134 scopus 로고
    • Convergence groups and Seifert fibered 3-manifolds
    • [C-J] CMP 95:01
    • [C-J] A. Casson and D. Jungreis, Convergence groups and Seifert fibered 3-manifolds, Inventiones Math. 118 (1994), 441-456. CMP 95:01
    • (1994) Inventiones Math. , vol.118 , pp. 441-456
    • Casson, A.1    Jungreis, D.2
  • 4
    • 0003418232 scopus 로고
    • [Fed] Springer-Verlag, Berlin, MR 41:1976
    • [Fed] H. Federer, Geometric Measure Theory, Springer-Verlag, Berlin, 1969. MR 41:1976
    • (1969) Geometric Measure Theory
    • Federer, H.1
  • 5
    • 0001072597 scopus 로고
    • Convergence groups are Fuchsian groups
    • [Gab] MR 93m:20065
    • [Gab] D. Gabai, Convergence groups are Fuchsian groups, Annals of Math. 136 (1992), 447-510. MR 93m:20065
    • (1992) Annals of Math. , vol.136 , pp. 447-510
    • Gabai, D.1
  • 6
    • 33645940862 scopus 로고
    • Quasi-conformal mappings and Lebesgue density
    • [G-K] Discontinuous Groups and Riemann Surfaces, Proceedings of the 1973 Conference at the University of Maryland (L. Greenberg, ed.), Princeton University Press
    • [G-K] F. W. Gehring and J. C. Kelly, Quasi-conformal mappings and Lebesgue density, Discontinuous Groups and Riemann Surfaces, Proceedings of the 1973 Conference at the University of Maryland (L. Greenberg, ed.), Ann. of Math. Studies 79, Princeton University Press (1974), 171-179.
    • (1974) Ann. of Math. Studies , vol.79 , pp. 171-179
    • Gehring, F.W.1    Kelly, J.C.2
  • 7
    • 0001320135 scopus 로고
    • Bounded cohomology and combings of groups
    • [Ger] MR 931:20029
    • [Ger] S. M. Gersten, Bounded cohomology and combings of groups, Int. J. Algebra Comput. 2 (1992), 307-326. MR 931:20029
    • (1992) Int. J. Algebra Comput. , vol.2 , pp. 307-326
    • Gersten, S.M.1
  • 8
    • 18544368726 scopus 로고
    • Les groupes hyperboliques
    • [Ghy1] MR 92f:57004
    • [Ghy1] E. Ghys, Les groupes hyperboliques, Seminaire Bourbaki 722 (1990), 1-29. MR 92f:57004
    • (1990) Seminaire Bourbaki , vol.722 , pp. 1-29
    • Ghys, E.1
  • 9
    • 0003352567 scopus 로고
    • Sur les groupes hyperboliques d'après Mikhael Gromov
    • [Ghy2] E. Ghys and P. de la Harpe (eds.), Birkhäuser MR 92f:53050
    • [Ghy2] E. Ghys and P. de la Harpe (eds.), Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Mathematics 83, Birkhäuser (1990). MR 92f:53050
    • (1990) Progress in Mathematics , vol.83
  • 11
    • 51649160427 scopus 로고
    • Groups of polynomial growth and expanding maps
    • [Gro1] MR 83b:53041
    • [Gro1] M. Gromov, Groups of polynomial growth and expanding maps, Publ. Math. IHES 53 (1981), 53-73. MR 83b:53041
    • (1981) Publ. Math. IHES , vol.53 , pp. 53-73
    • Gromov, M.1
  • 12
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • [Gro2] S. M. Gersten, ed., MSRI 8, Springer MR 89e:20076
    • [Gro2] _, Hyperbolic groups, Essays in Group Theory (S. M. Gersten, ed.), MSRI 8, Springer (1987), 75-263. MR 89e:20076
    • (1987) Essays in Group Theory , pp. 75-263
  • 13
    • 0002241480 scopus 로고
    • Rigidity of lattices: An introduction
    • [G-P] Geometric Topology: Recent Developments (J. Cheeger et. al., eds.), Springer-Verlag, Berlin and New York, MR 93f:53036
    • [G-P] M. Gromov and P. Pansu, Rigidity of lattices: an introduction, Geometric Topology: Recent Developments (J. Cheeger et. al., eds.), Lecture Notes in Math., vol. 1504, Springer-Verlag, Berlin and New York, 1991, pp. 39-137. MR 93f:53036
    • (1991) Lecture Notes in Math. , vol.1504 , pp. 39-137
    • Gromov, M.1    Pansu, P.2
  • 14
    • 33845212561 scopus 로고
    • Foundations for the theory of quasiconformal mappings on the Heisenberg group
    • [K-R1]
    • [K-R1] A. Koranyi and H. M. Reimann, Foundations for the theory of quasiconformal mappings on the Heisenberg group, Advances in Math. 111 (1995), 1-87.
    • (1995) Advances in Math. , vol.111 , pp. 1-87
    • Koranyi, A.1    Reimann, H.M.2
  • 15
    • 0000797136 scopus 로고
    • Quasiconformal mappings on the Heisenberg group
    • [K-R2] MR 86m:32035
    • [K-R2] _, Quasiconformal mappings on the Heisenberg group, Inventiones Math. 80 (1985), 309-338. MR 86m:32035
    • (1985) Inventiones Math. , vol.80 , pp. 309-338
  • 16
    • 0011037160 scopus 로고
    • Siegel's Modular Forms and Dirichlet Series
    • [Maa] Springer-Verlag, Berlin, MR 49:8938
    • [Maa] H. Maass, Siegel's Modular Forms and Dirichlet Series, Lecture Notes in Mathematics 216, Springer-Verlag, Berlin, 1971. MR 49:8938
    • (1971) Lecture Notes in Mathematics , vol.216
    • Maass, H.1
  • 17
    • 51249188297 scopus 로고
    • Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
    • [Mos] MR 38:4679
    • [Mos] G. D. Mostow, Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms, Publ. Math. IHES 34 (1968), 53-104. MR 38:4679
    • (1968) Publ. Math. IHES , vol.34 , pp. 53-104
    • Mostow, G.D.1
  • 18
    • 0001773527 scopus 로고
    • Metriques de Carnot-Caratheodory et quasi-isometries des espaces de rang 1
    • [Pan] MR 90e:53058
    • [Pan] P. Pansu, Metriques de Carnot-Caratheodory et quasi-isometries des espaces de rang 1, Annals of Math. 129 (1989), 1-60. MR 90e:53058
    • (1989) Annals of Math. , vol.129 , pp. 1-60
    • Pansu, P.1
  • 20
    • 85033734890 scopus 로고    scopus 로고
    • The quasi-isometry classification of rank one lattices
    • [Sch] to appear
    • [Sch] R. Schwartz, The quasi-isometry classification of rank one lattices, Publ. I.H.E.S. (to appear).
    • Publ. I.H.E.S.
    • Schwartz, R.1
  • 22
    • 0003746329 scopus 로고
    • The geometry and topology of S-manifolds
    • [Thu] Princeton Univ.
    • [Thu] W. P. Thurston, The geometry and topology of S-manifolds, Lecture Notes, Princeton Univ., 1978.
    • (1978) Lecture Notes
    • Thurston, W.P.1
  • 23
    • 51249173514 scopus 로고
    • On quasiconformal groups
    • [Tuk] MR 87m:30043
    • [Tuk] P. Tukia, On quasiconformal groups, Journal D'Analyse Math. 46 (1986), 318-346. MR 87m:30043
    • (1986) Journal D'Analyse Math. , vol.46 , pp. 318-346
    • Tukia, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.