This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Heil, KonstantinMoroianu, AndreiSemmelmann, Uwe2019-06-2820161864-7596https://doi.org/10.34657/2558https://oa.tib.eu/renate/handle/123456789/3132We show that Killing tensors on conformally at n-dimensional tori whose con- formal factor only depends on one variable, are polynomials in the metric and in the Killing vector elds. In other words, every rst integral of the geodesic ow polynomial in the momenta on the sphere bundle of such a torus is linear in the momenta.application/pdfeng510Killing tensorsgeodesic owintegrable systemsReport