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References

  1. B. N. Apanasov, Kleinian groups, Teichmüller space and Mostow’s Rigidity Theorem,Sibirsk. Mat. Zh.,21 (1980), no 4, 3–15 (Siberian Math. J.,21 (1980), 483–491).

    MATH  Google Scholar 

  2. ——,Diskretnye grouppy preobrazovanil i struktury mnogoobrazil (Discrete groups of transformations and manifold structures), Akad. Nauk SSSR, Siberian Section, Novosibirsk, 1983.

    Google Scholar 

  3. W. M. Goldman, Conformally flat manifolds with nilpotent holonomy and the uniformization problem for 3-manifolds,Trans. A.M.S.,278 (1983), 573–583.

    Article  MATH  Google Scholar 

  4. ——, Projective structures with Fuchsian holonomy,J. Diff. Geom.,25 (1987), 297–326.

    MATH  Google Scholar 

  5. Y. Kamishima, Conformally flat manifolds whose developing maps are not surjective, I,Trans. A.M.S.,294 (1986), 607–623.

    Article  MATH  Google Scholar 

  6. --, Conformally flat manifolds whose developing maps are not surjective, II, to appear.

  7. M. Kapovich,Flat conformal structures on 3-manifolds, Preprint N17, Novosibirsk, 1987.

  8. N. H. Kuiper, Hyperbolic manifolds and tesselations,Publ. Math. I.H.E.S.,68 (1988), 47–76.

    MATH  Google Scholar 

  9. R. Kulkarni, The principle of uniformization,J. Diff. Geom.,13 (1978), 109–138.

    MATH  Google Scholar 

  10. R. Kulkarni andU. Pinkall, Uniformization of geometric structures with applications to conformal geometry, inDiff. Geo. Peñiscola, Springer Lecture Notes in Math.,1209 (1986), 190–209.

    Google Scholar 

  11. B. Maskit,Kleinian Groups, Grundlehrer der math Wiss., no 287, Springer-Verlag, 1987.

  12. W. S. Massey, Proof of a conjecture of Whitney,Pacific J. Math.,31 (1969), 143–156.

    MATH  Google Scholar 

  13. W. Thurston,Foliations of 3-manifolds which are circle bundles, Thesis, Univ. of Calif., Berkeley, Calif., 1972.

    Google Scholar 

  14. J. Wood, Bundles with totally disconnected structure group,Comment. Math. Helv.,46 (1971), 257–273.

    Article  MATH  Google Scholar 

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Dedicated to René Thom.

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Gromov, M., Lawson, H.B. & Thurston, W. Hyperbolic 4-manifolds and conformally flat 3-manifolds. Publications Mathématiques de l’Institut des Hautes Scientifiques 68, 27–45 (1988). https://doi.org/10.1007/BF02698540

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  • DOI: https://doi.org/10.1007/BF02698540

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