Volume change under drilling

Geometry and Topology

Volumn 6, Issue , 2002, Pages 905-916

  Agol, Ian ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

3 manifold; Geodesic; Hyperbolic structure; Volume

Indexed keywords

EID: 1842794165     PISSN: 14653060     EISSN: None     Source Type: Journal    
DOI: 10.2140/gt.2002.6.905     Document Type: Article

References (17)

1. Gérard Besson, Gilles Courtois, Sylvestre Gallot, Lemme de Schwarz réel et applications géométriques, Acta Math. 183 (1999) 145-169
2. Steven A Bleiler, Craig D Hodgson, Spherical Space Forms And Dehn Filling, Topology 35 (1996) 809-833
3. Jeffrey Boland, Christopher Connell, Juan Souto, Volume rigidity for finite volume manifolds, preprint, http://www.math.uic.edu/~cconnell/papers.html
4. Martin Bridgeman, Bounds on volume increase under Dehn drilling operations, Proc. London Math. Soc. (3) 77 (1998) 415-436
5. Chun Cao, GRobert Meyerhoff, The orientable cusped hyperbolic 3-manifolds of minimum volume, Invent. Math. 146 (2001) 451-478
6. Ted Chinburg, Eduardo Friedman, Kerry N Jones, Alan W Reid, The arithmetic hyperbolic 3-manifold of smallest volume, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 30 (2001) 1-40
7. David Gabai, GRobert Meyerhoff, Peter Milley, Volumes of tubes in hyperbolic 3-manifolds, J. Differential Geom. 57 (2001) 23-46
8. David Gabai, Robert Meyerhoff, Nathaniel Thurston, Homotopy hyperbolic 3-manifolds are hyperbolic, to appear in Annals of Mathematics, http://www.math.caltech.edu/people/gabaipub.html
9. Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine, Riemannian geometry, second edition, Springer-Verlag, Berlin (1990)
10. Oliver Goodman, tube, http://www.ms.unimelb.edu.au/~snap/, tube comes with the program snap
11. Sadayoshi Kojima, Deformations of hyperbolic 3-cone-manifolds, J. Differential Geom. 49 (1998) 469-516
12. T Marshall, Gaven Martin, Volumes of hyperbolic 3-folds (2000), to appear in J. Conf. Geom. and Dynamics
13. John W Morgan, On Thurston's uniformization theorem for three-dimensional manifolds, from: "The Smith conjecture (New York, 1979)", Academic Press, Orlando, FL (1984) 37-125
14. Andrew Przeworski, Cones embedded in hyperbolic manifolds, J. Differential Geom. 58 (2001) 219-232
15. Andrew Przeworski, Density of tube packings in hyperbolic space (2002), preprint, http://www.ma.utexas.edu/users/prez/
16. Andrew Przeworski, A universal bound on density of tube packings in hyerbolic space (2002), preprint, http://www.ma.utexas.edu/users/prez/
17. JeffWeeks, SnapPea: A computer program for creating and studying hyperbolic 3-manifolds, available at http://www.northnet.org/weeks/