Geodesic Reduction via Frame Bundle Geometry
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Geodesic Reduction via Frame Bundle Geometry
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| Creator |
Bhand, A.
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| Description |
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 affine connection. The geometry of the frame bundle of the given manifold is used to provide an intrinsic description of the geodesic spray. A fundamental relationship between the geodesic spray, the tangent lift and the vertical lift of the symmetric product is obtained, which provides a key to understanding reduction in this formulation.
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| Date |
2019-02-08T20:28:17Z
2019-02-08T20:28:17Z 2010 |
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| Type |
Article
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| Identifier |
Geodesic Reduction via Frame Bundle Geometry / A. Bhand // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 22 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53B05; 53C05; 53C22; 58D19 DOI:10.3842/SIGMA.2010.020 http://dspace.nbuv.gov.ua/handle/123456789/146313 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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