Holonomy groups of complete flat manifolds

Volume 76 / 2007

Micha/l Sadowski Banach Center Publications 76 (2007), 527-532 MSC: Primary 53C25; Secondary 57R22, 20C99. DOI: 10.4064/bc76-0-28


We present short direct proofs of two known properties of complete flat manifolds. They say that the diffeomorphism classes of $m$-dimensional complete flat manifolds form a finite set $S_{CF}(m)$ and that each element of $S_{CF}(m)$ is represented by a manifold with finite holonomy group.


  • Micha/l SadowskiInstitute of Mathematics
    University of Gdańsk
    Wita Stwosza 57
    80-952 Gdańsk, Poland

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