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DEFORMATION SPACES OF 3-DIMENSIONAL FLAT MANIFOLDS
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 Title & Authors
DEFORMATION SPACES OF 3-DIMENSIONAL FLAT MANIFOLDS
Kang, Eun-Sook; Kim, Ju-Young;
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 Abstract
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) .
 Keywords
Weil space;Teichmuller space;Bieberbach group;
 Language
English
 Cited by
 References
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Bieberbach Groups and Flat Manifolds, 1986.

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Spaces of Constant Curvature, 1967.