Visualization of the isometry group action on the Fomenko-Matveev-Weeks manifold

Journal of Lie Theory

Volumn 8, Issue 1, 1998, Pages 51-66

  Mednykh, Alexander ^a   Vesnin, Andrei ^a  

^a SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 25444474425     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. Armstrong, M.A., The fundamental group of the orbit space of a discontinuous group, Proc. Camb. Phil. Soc. 64 (1968), 299-301.
2. Baumslag, G., J. Morgan, and P. Shalen, Generalized triangle groups, Math. Proc. Camb. Phil. Soc. 102 (1987), 25-31.
3. Fomenko, A.T, and S.V. Matveev, Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds, Russian Math. Surveys 43 (1988), 1, 3-24.
4. Hagelberg, M., and A. Vesnin, On the family of hyperbolic dihedral Θ (p/q)-orbifolds, Vychislitelnye sistemy 155 (1996), 15-36 (in Russian).
5. Henry, S., and J. Weeks, Symmetry groups of hyperbolic knots and links, Journal of Knot Theory and Its Ramifications 1 (1992), 185-201.
6. Hodgson, C., and J. Weeks, Symmetries, isometrics and length spectra of closed hyperbolic three-manifolds, Experimental Mathematics 3 (1994), 101-113.
7. Kodama, K., and M. Sakuma, Symmetry groups of prime knots up to 10 crossings, in: Knots 90 (ed. A. Kawauchi), de Gruyter, 1992, 323-340.
8. Mednykh, A., and A. Vesnin, Hyperbolic 3-manifolds as 2-fold coverings according to Montesinos, Preprint 95-010, Universität Bielefeld, Bielefeld, 1995, 23 pp.
9. Molnar, E., On isometries of space forms, in: Differential Geometry and its Applications (Eger, 1989), North-Holland, Amsterdam, 1992. 509-534.
10. Rolfsen, D., "Knots and links", Publish or Perish Inc., Berkely Ca., 1976.
11. SnapPea, A program for Macintosh to compute hyperbolic structures on 3-manifolds, available by ftp from gcom.umn.edu.
12. Thurston, W., The geometry and topology of 3-manifolds, Lecture Notes, Princeton University 1980.
13. Weeks, J., Hyperbolic structures on 3-manifolds, Princeton Univ. Ph. D. Thesis, 1985.
14. 3, Geometry and. Topology 105 (1987), 325-346.