DEFORMATION SPACES OF 3-DIMENSIONAL FLAT MANIFOLDS Kang, Eun-Sook; Kim, Ju-Young;
The deformation spaces of the six orientable 3-dimensional flat Riemannian manifolds are studies. It is proved that the Teichmuller spaces are homeomorphic to the Euclidean spaces. To state more precisely, let denote the holonomy group of the manifold. Then the Teichmuller space is homeomorphic to (1) is trivial, (2) is cyclic with order two, (3) is cyclic of order 3, 4 or 6, and (4) .
Weil space;Teichmuller space;Bieberbach group;
Crystal-lographic groups of four-dimensional space, 1978.
Proceedings Conf. Geometry and Topology, Univ. of Maryland 1983-1984, Springer Lecture Notes in Mathematics, 1986.