학술저널
TEICHM¨ ULLER SPACES OF NONORIENTABLE 3-DIMENSIONAL FLAT MANIFOLDS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 15, No. 2
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2002.0557 - 66 (10 pages)
- 0
The various deformation spaces associated with maximal geometric structures on closed oriented 3-manifolds was studied in [2], leaving out the geometry of R3. In this paper, we study the Weil spaces and Teichm¨uller spaces of non-orientable 3-dimensional flat Riemannian manifolds. In particular, we find the Teichm¨uller spaces are homeomorphic to the Euclidean spaces R4 or R3 depending on the holonomy group Z2 or Z2 × Z2 respectively.
1. Introduction
2. Preliminaries
3. Main Results
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