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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Bibliografische gegevens
Hoofdauteur: Ajit Bhand
Formaat: Artikel
Taal:English
Gepubliceerd in: National Academy of Science of Ukraine 2010-02-01
Reeks:Symmetry, Integrability and Geometry: Methods and Applications
Onderwerpen:
Online toegang:http://dx.doi.org/10.3842/SIGMA.2010.020