# Publishing house / Banach Center Publications / All volumes

## Holonomy groups of complete flat manifolds

### Volume 76 / 2007

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

#### Abstract

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.