previous :: next
Geometrical finiteness with variable negative curvature
B. H. Bowditch
Source: Duke Math. J. Volume 77, Number 1
(1995), 229-274.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077286152
Mathematical Reviews number (MathSciNet): MR1317633
Zentralblatt MATH identifier: 0877.57018
Digital Object Identifier: doi:10.1215/S0012-7094-95-07709-6
References
[Ah] L. V. Ahlfors, Fundamental polyhedrons and limit point sets of Kleinian groups, Proc. Nat. Acad. Sci. U.S.A. 55 (1966), 251–254.
Mathematical Reviews (MathSciNet): MR33:3175
Zentralblatt MATH: 0132.30801
Digital Object Identifier: doi:10.1073/pnas.55.2.251
JSTOR: links.jstor.org
[An] M. Anderson, The Dirichlet problem at infinity for manifolds of negative curvature, J. Differential Geom. 18 (1983), no. 4, 701–721.
Mathematical Reviews (MathSciNet): MR85m:58178
Zentralblatt MATH: 0541.53036
Project Euclid: euclid.jdg/1214438178
[BaGS] W. Ballmann, M. Gromov, and V. Schroeder, Manifolds of Nonpositive Curvature, Progr. Math., vol. 61, Birkhäuser, Boston, 1985.
Mathematical Reviews (MathSciNet): MR87h:53050
Zentralblatt MATH: 0591.53001
[BeM] A. Beardon and B. Maskit, Limit points of Kleinian groups and finite sided fundamental polyhedra, Acta Math. 132 (1974), 1–12.
Mathematical Reviews (MathSciNet): MR48:11489
Zentralblatt MATH: 0277.30017
Digital Object Identifier: doi:10.1007/BF02392106
[Bo1] B. H. Bowditch, Geometrical finiteness for hyperbolic groups, J. Funct. Anal. 113 (1993), no. 2, 245–317.
Mathematical Reviews (MathSciNet): MR94e:57016
Zentralblatt MATH: 0789.57007
Digital Object Identifier: doi:10.1006/jfan.1993.1052
[Bo2] B. H. Bowditch, Discrete parabolic groups, J. Differential Geom. 38 (1993), no. 3, 559–583.
Mathematical Reviews (MathSciNet): MR94h:53046
Zentralblatt MATH: 0793.53029
Project Euclid: euclid.jdg/1214454483
[Bo3] B. H. Bowditch, Some results on the geometry of convex hulls in manifolds of pinched negative curvature, Comment. Math. Helv. 69 (1994), no. 1, 49–81.
Mathematical Reviews (MathSciNet): MR94m:53044
Zentralblatt MATH: 0967.53022
Digital Object Identifier: doi:10.1007/BF02564474
[Br] M. R. Bridson, Geodesics and curvature in metric simplicial complexes, Group Theory from a Geometrical Viewpoint (Trieste, 1990) eds. E. Ghys, A. Haefliger, and A. Verjovsky, World Scientific, River Edge, NJ, 1991, pp. 373–463.
Mathematical Reviews (MathSciNet): MR94c:57040
Zentralblatt MATH: 0844.53034
[CE] J. Cheeger and D. G. Ebin, Comparison Theorems in Riemannian Geometry, North-Holland Math. Lib., vol. 9, North-Holland, Amsterdam, 1975.
Mathematical Reviews (MathSciNet): MR56:16538
Zentralblatt MATH: 0309.53035
[EM] D. B. A. Epstein and A. Marden, Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces, Analytical and Geometric Aspects of Hyperbolic Space (Coventry/Durham, 1984) ed. D. B. A. Epstein, London Math. Soc. Lecture Note Series, vol. 111, Cambridge Univ. Press, Cambridge, 1987, pp. 113–253.
Mathematical Reviews (MathSciNet): MR89c:52014
Zentralblatt MATH: 0612.57010
[G] W. M. Goldman, Complex hyperbolic Kleinian groups, Complex Geometry (Osaka, 1990), Lecture Notes in Pure and Appl. Math., vol. 143, Dekker, New York, 1993, pp. 31–52.
Mathematical Reviews (MathSciNet): MR93k:32053
Zentralblatt MATH: 0793.53069
[GP] W. M. Goldman and J. R. Parker, On the horospherical geometry of complex hyperbolic space, preprint, Univ. of Maryland, 1991.
[HI] E. Heintze and H. C. Im Hof, Geometry of horospheres, J. Differential Geom. 12 (1977), no. 4, 481–491.
Mathematical Reviews (MathSciNet): MR80a:53051
Zentralblatt MATH: 0434.53038
Project Euclid: euclid.jdg/1214434219
[M] A. Marden, The geometry of finitely generated kleinian groups, Ann. of Math. (2) 99 (1974), 383–462.
Mathematical Reviews (MathSciNet): MR50:2485
Zentralblatt MATH: 0282.30014
Digital Object Identifier: doi:10.2307/1971059
JSTOR: links.jstor.org
[Pa] J. R. Parker, Dirichlet polyhedra for parabolic cyclic groups acting on complex hyperbolic space, preprint, Warwick Univ., 1992.
[Ph] M. B. Phillips, Dirichlet polyhedra for cyclic groups in complex hyperbolic space, Proc. Amer. Math. Soc. 115 (1992), no. 1, 221–228.
Mathematical Reviews (MathSciNet): MR93a:32042
Zentralblatt MATH: 0768.53033
Digital Object Identifier: doi:10.2307/2159589
JSTOR: links.jstor.org
[S] M. Spivak, A Comprehensive Introduction to Differential Geometry, 2nd ed., Publish or Perish, Wilmington, Del., 1979.
[T] W. P. Thurston, The geometry and topology of $3$-manifold, Princeton Univ., Department of Mathematics, 1979.
previous :: next
Duke Mathematical Journal
