Title: The Anosov theorem for infranilmanifolds with an odd-order Abelian holonomy group
Authors: Dekimpe, Karel * ×
De Rock, Bram *
Pouseele, Hannes * #
Issue Date: 2006
Publisher: Hindawi Pub. Corp.
Series Title: Fixed Point Theory and Applications issue:Sp. Iss. SI
Conference: location:1 date:12
Article number: 63939
Abstract: We prove that N( f) = | L( f)| for any continuous map f of a given infranilmanifold with Abelian holonomy group of odd order. This theorem is the analogue of a theorem of Anosov for continuous maps on nilmanifolds. We will also show that although their fundamental groups are solvable, the infranilmanifolds we consider are in general not solvmanifolds, and hence they cannot be treated using the techniques developed for solvmanifolds.
ISSN: 1687-1812
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Mathematics, Campus Kulak Kortrijk
* (joint) first author
× corresponding author
# (joint) last author

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