Lecture Notes in Mathematics

Dekimpe, Karel

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

Published by: Springer

Publication Date: 1996-11-18

Format: Paperback

ISBN-13: 9783540618997

DOI: 10.1007/BFb0094472

Dimensions: 279cm x216cm

Pages: 262