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Killing Tensors on Tori

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Date
2016-11-10
MFO Scientific Program
Research in Pairs 2016
Series
Oberwolfach Preprints;2016,20
Author
Heil, Konstantin
Moroianu, Andrei
Semmelmann, Uwe
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OWP-2016-20
Abstract
We show that Killing tensors on conformally at n-dimensional tori whose conformal factor only depends on one variable, are polynomials in the metric and in the Killing vector fields. In other words, every first integral of the geodesic flow polynomial in the momenta on the sphere bundle of such a torus is linear in the momenta.
Mathematics Subject Classification (MSC)
53
DOI
10.14760/OWP-2016-20
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Mathematisches Forschungsinstitut Oberwolfach copyright © 2017-2019 
Contact Us | Legal Notice | Data Protection Statement
Leibniz Gemeinschaft