Holonomy groups of complete flat manifolds

• Autorzy: Michał Sadowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57R22: Topology of vector bundles and fiber bundles
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 20C99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 76
• Numer: 1
• Strony: 527-532

Daty

wydano

2007

Twórcy

autor

Michał Sadowski

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/bc76-0-28