Hyperbolic 4-manifolds and tesselations

Nicholaas H. Kuiper

Publications Mathématiques de l'IHÉS (1988)

  • Volume: 68, page 47-76
  • ISSN: 0073-8301

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Kuiper, Nicholaas H.. "Hyperbolic 4-manifolds and tesselations." Publications Mathématiques de l'IHÉS 68 (1988): 47-76. <http://eudml.org/doc/104043>.

@article{Kuiper1988,
author = {Kuiper, Nicholaas H.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {discrete subgroups of SO(4,1); plane bundles over a compact surface; tesselations; involutions; tesselation hyperbolic 4-manifolds; conformal 3-manifolds; Seifert fibered manifolds; Teichmüller space},
language = {eng},
pages = {47-76},
publisher = {Institut des Hautes Études Scientifiques},
title = {Hyperbolic 4-manifolds and tesselations},
url = {http://eudml.org/doc/104043},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Kuiper, Nicholaas H.
TI - Hyperbolic 4-manifolds and tesselations
JO - Publications Mathématiques de l'IHÉS
PY - 1988
PB - Institut des Hautes Études Scientifiques
VL - 68
SP - 47
EP - 76
LA - eng
KW - discrete subgroups of SO(4,1); plane bundles over a compact surface; tesselations; involutions; tesselation hyperbolic 4-manifolds; conformal 3-manifolds; Seifert fibered manifolds; Teichmüller space
UR - http://eudml.org/doc/104043
ER -

References

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  1. [Ba1] T. BANCHOFF, Self-linking numbers of space polygons, Indiana Univ. Math. J., 25 (1976), 1171-1188. Zbl0363.53002MR55 #4227
  2. [Ba2] T. BANCHOFF, Normal curvatures and Euler classes for polyhedral surfaces in 4-space, Proc. AMS, 92 (1984), 593-596. Zbl0558.57010MR86c:57019
  3. [Ca] G. CÀLGÀREANU, L'intégrale de Gauss et l'analyse des noeuds tridimensionnels, Revue de Math. Pure et Appl., 4 (1959), 5-20. Zbl0134.43005
  4. [Cox] H. S. M. COXETER, Introduction to Geometry, New York, Wiley, 1960. Zbl0095.34502
  5. [Ehr] Ch. EHRESMANN, Les connexions infinitésimales dans un espace fibré différentiable, Colloque de Topologie, CBRM, Bruxelles, 1950, 29-55. Also in Œuvres complètes. Zbl0054.07201
  6. [GLT] M. GROMOV, M. B. LAWSON and W. THURSTON, Hyperbolic 4-manifolds and conformally flat 3-manifolds. See references there, Publ. Math. I.H.E.S., 68 (1988), 27-45. Zbl0692.57012MR90k:57021
  7. [Go] W. M. GOLDMAN, Projective structures with Fuchsian holonomy, J. Diff. Geom., 25 (3) (1987), 297-326. Zbl0595.57012MR88i:57006
  8. [Mi] J. MILNOR, On the existence of a connection with zero curvature, Comment. Math. Helv., 32 (1958), 215-233. Zbl0196.25101MR20 #2020
  9. [Ma] B. MASKIT, Kleinian groups, Grundlehren der Math. Wiss. 287, Springer Verlag (1987). Zbl0627.30039MR90a:30132
  10. [Po] W. POHL, The self-linking of closed space curves, J. Math. Mech., 17 (1968), 975-985. Zbl0164.54005MR36 #5827
  11. [S] L. SIEBENMANN, Regular open neighborhoods, in General topology and its applications, 6 (1973), 51-61. See also L. SIEBENMANN, L. GUILLOU et J. HÄHL, Les voisinages ouverts réguliers, Ann. Sc. École Norm. Sup., 4e sér., 6 (1973), 253-293. Zbl0276.57003
  12. [SY] R. SCHOEN and S. YAU, Conformally flat manifolds, Kleinian groups and scalar curvature, Inv. Math., 92 (1988), 47-72. Zbl0658.53038MR89c:58139
  13. [W] J. WOOD, Bundles with totally disconnected structure group, Comment. Math. Helv., 46 (1971), 257-273. Zbl0217.49202MR45 #2732

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