MODULI SPACES OF 3-DIMENSIONAL FLAT MANIFOLDS

Title & Authors
MODULI SPACES OF 3-DIMENSIONAL FLAT MANIFOLDS
Kang, Eun-Sook;

Abstract
For 3-dimensional Bieberbach groups, we study the de-formation spaces in the group of isometries of $\small{R^3}$. First we calculate the discrete representation spaces and the automorphism groups. Then for each of these Bieberbach groups, we give complete descriptions of $\small{Teichm\ddot{u}ller}$ spaces, Chabauty spaces, and moduli spaces.
Keywords
Bieberbach group;flat manifold;moduli space;$\small{Teichm\ddot{u}ller}$ space;
Language
English
Cited by
1.
On infinitesimal Einstein deformations, Differential Geometry and its Applications, 2015, 38, 41
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