Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894399 | Journal of Geometry and Physics | 2008 | 10 Pages |
Abstract
In this paper we give topological and affine classification of complete noncompact flat 4-manifolds. In particular, we show that the number of diffeomorphism classes of them is equal to 44. The affine classification uses the results of [M. Sadowski, Affinely equivalent complete flat manifolds, Cent. Eur. J. Math. 2 (2) (2004) 332–338]. The affine and the topological equivalence classes are the same for flat manifolds not homotopy equivalent to S1,T2S1,T2 or the Klein bottle.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Michał Sadowski,