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Beschreibung
Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to generalize to the almost-Bieberbach groups. Moreover, using affine representations, explicit cohomology computations can be carried out, or resulting in a classification of the almost-Bieberbach groups in low dimensions. The concept of a polynomial structure, an alternative for the affine structures that sometimes fail, is introduced.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 18. November 1996 |
| Maße | 27.9 cm x 21.6 cm |
| Gewicht | 417 Gramm |
| Format | Softcover |
| ISBN-13 | 9783540618997 |
| Seiten | 262 |
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