Published June 24, 1993
| public
Book Section - Chapter
Steve Smale and Geometric Mechanics
- Creators
- Marsden, Jerrold E.
- Others:
- Hirsch, M. W.
- Marsden, Jerrold E.
- Shub, M.
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.
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.Additional details
- Eprint ID
- 19708
- Resolver ID
- CaltechAUTHORS:20100830-110933848
- DMS-8922704
- NSF
- DE-FG03-88ER2S064
- Department of Energy (DOE)
- Created
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2010-09-14Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field