Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published 1989 | Published
Book Section - Chapter Open

Cartan-Hannay-Berry Phases and Symmetry

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

Published - MaMoRa1989.pdf

Files

MaMoRa1989.pdf
Files (589.6 kB)
Name Size Download all
md5:4b4c3a32ec27021ccb7210e540487da6
589.6 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
January 13, 2024