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...
Main Author: | Ajit Bhand |
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Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2010-02-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.020 |
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