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arXiv · 1502.01528

On the coverings of Euclidian manifolds $\mathcal{B}_1$ and $\mathcal{B}_2$

G. Chelnokov·M. Deryagina·A. Mednykh
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Abstract

There are just 10 closed flat 3-manifolds, following [1], we call them platycosms. The aim of this paper is to classify types of n-coverings over amphicosms, i.e. some kinds of platycosms, and enumerate the numbers of them. Key words: platycosm, amphicosms, flat 3-manifold, non-equivalent covering over manifold, crystallographic group.

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G. Chelnokov, M. Deryagina, A. Mednykh. 2015-02-05. On the coverings of Euclidian manifolds $\mathcal{B}_1$ and $\mathcal{B}_2$. https://doi.org/10.1080/00927872.2016.1222396

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