Geodesic Reduction via Frame Bundle Geometry
A manifold with an arbitrary affine connection is considered and the geodesic spray associated with the connection is studied in the presence of a Lie group action. In particular, results are obtained that provide insight into the structure of the reduced dynamics associated with the given invariant...
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Formaat: | Artikel |
Taal: | English |
Gepubliceerd in: |
National Academy of Science of Ukraine
2010-02-01
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Reeks: | Symmetry, Integrability and Geometry: Methods and Applications |
Onderwerpen: | |
Online toegang: | http://dx.doi.org/10.3842/SIGMA.2010.020 |