Published November 1, 1983
| public
Journal Article
Open
The Morse Lemma in Infinite Dimensions via Singularity Theory
- Creators
- Golubitsky, Martin
- Marsden, Jerrold
Chicago
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Abstract
An infinite dimensional Morse lemma is proved using the deformation lemma from singularity theory. It is shown that the versions of the Morse lemmas due to Palais and Tromba are special cases. An infinite dimensional splitting lemma is proved. The relationship of the work here to other approaches in the literature in discussed.
Additional Information
©1983 Society for Industrial and Applied Mathematics Received by the editors June 28, 1982, and in revised form October 29, 1982.Files
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- Eprint ID
- 4638
- Resolver ID
- CaltechAUTHORS:GOLsiamjma83
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2006-08-30Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field