Killing Tensors on Tori
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OWP2016_20.pdf (345.6Kb)Date
2016-11-10MFO Scientific Program
Research in Pairs 2016Series
Oberwolfach Preprints;2016,20Metadata
Show full item recordOWP-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)
53Collections
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