Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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MODULI SPACES OF 3-DIMENSIONAL FLAT MANIFOLDS

  • Published : 2006.09.30
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Abstract

For 3-dimensional Bieberbach groups, we study the de-formation spaces in the group of isometries of $R^3$. First we calculate the discrete representation spaces and the automorphism groups. Then for each of these Bieberbach groups, we give complete descriptions of $Teichm\ddot{u}ller$ spaces, Chabauty spaces, and moduli spaces.

Keywords

References

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Cited by

  1. On infinitesimal Einstein deformations vol.38, 2015, https://doi.org/10.1016/j.difgeo.2014.11.007
  2. Teichmüller theory and collapse of flat manifolds vol.197, pp.4, 2018, https://doi.org/10.1007/s10231-017-0723-7