Marsden, Jerrold E. (1993) Steve Smale and Geometric Mechanics. In: From Topology to Computation: Proceedings of the Smalefest. Springer-Verlag , New York, pp. 499-516. ISBN 9780387979328 http://resolver.caltech.edu/CaltechAUTHORS:20100830-110933848
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Abstract
Thus, one can say-perhaps with only a slight danger of oversimplification- that reduction theory synthesises the work of Smale, Arnold (and their predecesors of course) into a bundle, with Smale as the base and Arnold as the fiber. This bundle has interesting topology and carries mechanical connections (with associated Chern classes and Hannay-Berry phases) and has interesting singularities (Arms, Marsden, and Moncrief, Guillemin and Sternberg, Atiyab, and otbers). We will describe some of these features later.
| Item Type: | Book Section | ||||||
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| Additional Information: | © 1993 Springer-Verlag New York. Inc. Research partially supported by NSF Grant DMS-8922704 and DOE Contract DE-FG03·88ER2S064. Papers presented at an international research conference in honor of Stephen Smale's 60th birthday, held Aug. 5-9, 1990 in Berkeley. | ||||||
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| Record Number: | CaltechAUTHORS:20100830-110933848 | ||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20100830-110933848 | ||||||
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 19708 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Ruth Sustaita | ||||||
| Deposited On: | 14 Sep 2010 19:03 | ||||||
| Last Modified: | 26 Dec 2012 12:22 |
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