Higher dimensional Möbius bands and their boundaries
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We give a characterisation of Bieberbach manifolds which are geodesic boundaries of a compact flat manifold, and discuss the low dimensional cases, up to dimension 4.
Mathematics Subject Classification53C20 53C22 53C23
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The authors would like to thank Andrzej Szczepański for giving the description of 4-dimensional Bieberbach manifolds with zero first Betti number by the use of the useful CARAT package. They also thank the anonymous referee for his comments and remarks.
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