论文信息 - A census of cusped hyperbolic 3-manifolds

A census of cusped hyperbolic 3-manifolds

The census provides a basic collection of noncompact hyperbolic 3-manifolds of finite volume. It contains descriptions of all hyperbolic 3-manifolds obtained by gluing the faces of at most seven ideal tetrahedra. Additionally, various geometric and topological invariants are calculated for these manifolds. The findings are summarized and a listing of all manifolds appears in the microfiche supplement.

[1] C. Adams. The noncompact hyperbolic 3-manifold of minimal volume , 1987 .

[2] R. C. Penner,et al. Euclidean decompositions of noncompact hyperbolic manifolds , 1988 .

[3] Sóstenes Lins,et al. Gems, Computers and Attractors for 3-Manifolds , 1995 .

[4] Martin Hildebrand,et al. A Computer Generated Census of Cusped Hyperbolic 3-Manifolds , 1989, Computers and Mathematics.

[5] W. Thurston. The geometry and topology of 3-manifolds , 1979 .

[6] Colin Adams,et al. Minimum ideal triangulations of hyperbolic 3-manifolds , 1991, Discret. Comput. Geom..

[7] Robert Myers. Simple knots in compact, orientable 3-manifolds , 1982 .

[8] J. Weeks. Convex hulls and isometries of cusped hyperbolic 3-manifolds , 1993 .

[9] W. Thurston,et al. Three-Dimensional Geometry and Topology, Volume 1 , 1997, The Mathematical Gazette.

[10] Sergei Matveev,et al. Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds , 1988 .

[11] P. Scott,et al. The geometries of 3-manifolds , 1983 .

[12] W. Thurston,et al. Three-Dimensional Geometry and Topology, Volume 1 , 1997, The Mathematical Gazette.