Published 1989
| Published
Book Section - Chapter
Open
Cartan-Hannay-Berry Phases and Symmetry
- Creators
- Marsden, J.
- Montgomery, Sean M.
-
Ratiu, T.
Chicago
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Abstract
We give a systematic treatment of the treatment of the classical Hannay-Berry phases for mechanical systems in terms of the holonomy of naturally constructed connections on bundles associated to the system. We make the costructions using symmetry and reduction and, for moving systems, we use the Cartan connection. These ideas are woven with the idea of Montgomery [1988] on the averaging of connections to produce the Hannay-Berry connection.
Additional Information
© 1989 American Mathematical Society. Dedicated to Roger Brockett on the occasion of his 50th birthday. Research partially supportcd by NSF grant DMS 8702502, DOE Contract DE-AT03-88ER-12097 and MSI at Cornell University. Research partially supported by an NSF postdoctoral fellowship and NSF grant DMS 8702502. Research partially supported by NSF grant DMS 8701318-01.Attached Files
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Additional details
- Eprint ID
- 19763
- Resolver ID
- CaltechAUTHORS:20100902-080916253
- NSF
- DMS 8702502
- Department of Energy (DOE)
- DE-AT03-88ER-12097
- MSI/Cornell University
- NSF Postdoctoral Fellowship
- NSF
- DMS 8702502
- NSF
- DMS 8701318-01
- Created
-
2010-09-04Created from EPrint's datestamp field
- Updated
-
2020-03-09Created from EPrint's last_modified field
- Series Name
- Contemporary Mathematics