par Dekimpe, Karel;De Rock, Bram 
;Penninckx, Pieter
Référence Topological Methods in Nonlinear Analysis, 34, 2, page (353-373)
Publication Publié, 2009
;Penninckx, PieterRéférence Topological Methods in Nonlinear Analysis, 34, 2, page (353-373)
Publication Publié, 2009
Article révisé par les pairs
| Résumé : | In this paper, we investigate the finiteness of the Reidemeister number R(f) of a selfmap f:M → M on an infra-nilmanifold M. We show that the Reidemeister number of an Anosov diffeomorphism on an infra-nilmanifold is always finite. A manifold M is said to have the R∞ property if R(f) = ∞ for every homeomorphism f:M → M. We show that every non-orientable generalised Hantzsche-Wendt manifold has the R∞ property. For an orientable Hantzsche-Wendt manifold M, we formulate a criterion, in terms of an associated graph, for M to have the R∞ property. © 2009 Juliusz Schauder Center for Nonlinear Studies. |
