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Steve Smale and Geometric Mechanics

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 .

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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
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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Department of Energy (DOE)DE-FG03-88ER2S064
Record Number: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
Deposited By: Ruth Sustaita
Deposited On:14 Sep 2010 19:03
Last Modified:01 May 2015 19:44

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