Holonomy groups of complete flat manifolds

Michał Sadowski

Banach Center Publications (2007)

  • Volume: 76, Issue: 1, page 527-532
  • ISSN: 0137-6934

Abstract

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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 C F ( m ) and that each element of S C F ( m ) is represented by a manifold with finite holonomy group.

How to cite

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Michał Sadowski. "Holonomy groups of complete flat manifolds." Banach Center Publications 76.1 (2007): 527-532. <http://eudml.org/doc/282282>.

@article{MichałSadowski2007,
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.},
author = {Michał Sadowski},
journal = {Banach Center Publications},
keywords = {complete flat manifold; holonomy group; flat bundle; diffeomorphism; representation of a Bieberbach group},
language = {eng},
number = {1},
pages = {527-532},
title = {Holonomy groups of complete flat manifolds},
url = {http://eudml.org/doc/282282},
volume = {76},
year = {2007},
}

TY - JOUR
AU - Michał Sadowski
TI - Holonomy groups of complete flat manifolds
JO - Banach Center Publications
PY - 2007
VL - 76
IS - 1
SP - 527
EP - 532
AB - 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.
LA - eng
KW - complete flat manifold; holonomy group; flat bundle; diffeomorphism; representation of a Bieberbach group
UR - http://eudml.org/doc/282282
ER -

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