Hyperbolic 4-manifolds and conformally flat 3-manifolds

Michael Gromov; H. B. Jr. Lawson; W. Thurston

Publications Mathématiques de l'IHÉS (1988)

  • Volume: 68, page 27-45
  • ISSN: 0073-8301

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Gromov, Michael, Lawson, H. B. Jr., and Thurston, W.. "Hyperbolic 4-manifolds and conformally flat 3-manifolds." Publications Mathématiques de l'IHÉS 68 (1988): 27-45. <http://eudml.org/doc/104042>.

@article{Gromov1988,
author = {Gromov, Michael, Lawson, H. B. Jr., Thurston, W.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {discrete subgroups of SO(4,1); plane bundles over an oriented closed surface; complete hyperbolic manifold structures; conformal structures; circle bundles},
language = {eng},
pages = {27-45},
publisher = {Institut des Hautes Études Scientifiques},
title = {Hyperbolic 4-manifolds and conformally flat 3-manifolds},
url = {http://eudml.org/doc/104042},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Gromov, Michael
AU - Lawson, H. B. Jr.
AU - Thurston, W.
TI - Hyperbolic 4-manifolds and conformally flat 3-manifolds
JO - Publications Mathématiques de l'IHÉS
PY - 1988
PB - Institut des Hautes Études Scientifiques
VL - 68
SP - 27
EP - 45
LA - eng
KW - discrete subgroups of SO(4,1); plane bundles over an oriented closed surface; complete hyperbolic manifold structures; conformal structures; circle bundles
UR - http://eudml.org/doc/104042
ER -

References

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  1. [A1] B. N. APANASOV, Kleinian groups, Teichmüller space and Mostow's Rigidity Theorem, Sibirisk. Mat. Zh., 21 (1980), n° 4, 3-15 (Siberian Math. J., 21 (1980), 483-491). Zbl0499.30032
  2. [A2] B. N. APANASOV, Diskretnye gruppy preobrazovaniĭ i struktury mnogoobraziĭ (Discrete groups of transformations and manifold structures), Akad. Nauk SSSR, Siberian Section, Novosibirsk, 1983. Zbl0535.57002
  3. [G1] W. M. GOLDMAN, Conformally flat manifolds with nilpotent holonomy and the uniformization problem for 3-manifolds, Trans. A.M.S., 278 (1983), 573-583. Zbl0518.53041MR84i:53043
  4. [G2] W. M. GOLDMAN, Projective structures with Fuchsian holonomy, J. Diff. Geom., 25 (1987), 297-326. Zbl0595.57012MR88i:57006
  5. [K1] Y. KAMISHIMA, Conformally flat manifolds whose developing maps are not surjective, I, Trans. A.M.S., 294 (1986), 607-623. Zbl0608.53036MR87g:57060
  6. [K2] W. M. GOLDMAN, Conformally flat manifolds whose developing maps are not surjective, II, to appear. 
  7. [Kap] M. KAPOVICH, Flat conformal structures on 3-manifolds, Preprint N17, Novosibirsk, 1987. 
  8. [Kui] N. H. KUIPER, Hyperbolic manifolds and tesselations, Publ. Math. I.H.E.S., 68 (1988), 47-76. Zbl0692.57013MR90k:57022
  9. [Ku] R. KULKARNI, The principle of uniformization, J. Diff. Geom., 13 (1978), 109-138. Zbl0381.53023MR81k:53009
  10. [KP] R. KULKARNI and U. PINKALL, Uniformization of geometric structures with applications to conformal geometry, in Diff. Geo. Peñiscola, Springer Lecture Notes in Math., 1209 (1986), 190-209. Zbl0612.57017MR88b:53036
  11. [M] B. MASKIT, Kleinian Groups, Grundlehrer der math Wiss., n° 287, Springer-Verlag, 1987. Zbl0627.30039MR90a:30132
  12. [Ma] W. S. MASSEY, Proof of a conjecture of Whitney, Pacific J. Math., 31 (1969), 143-156. Zbl0198.56701MR40 #3570
  13. [Th] W. THURSTON, Foliations of 3-manifolds which are circle bundles, Thesis, Univ. of Calif., Berkeley, Calif., 1972. 
  14. [W] J. WOOD, Bundles with totally disconnected structure group, Comment. Math. Helv., 46 (1971), 257-273. Zbl0217.49202MR45 #2732

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