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Title: Bieberbach groups with multiplicity-free rational holonomy representation
Authors: Malfait, Wim # ×
Issue Date: 2003
Publisher: Walter de gruyter & co
Series Title: Journal of group theory vol:6 issue:3 pages:381-389
Abstract: A virtually unipotent map of an n-dimensional. at Riemannian manifold M is ( up to homotopy) a diffeomorphism of M lifting to an affine transformation of the universal cover R-n whose linear part only has roots of unity as eigenvalues. Of course, a homotopically periodic map of M is always virtually unipotent. Conversely, in this paper we prove that each virtually unipotent map of M is homotopically periodic if and only if the associated rational holonomy representation is multiplicity-free. Finally, we discuss the existence of Anosov diffeomorphisms on. at Riemannian manifolds with multiplicity-free rational holonomy representation.
ISSN: 1433-5883
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Mathematics, Campus Kulak Kortrijk
× corresponding author
# (joint) last author

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