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Global analysis and general relativity

Fischer, Arthur E. and Marsden, Jerrold E. (1974) Global analysis and general relativity. General Relativity and Gravitation, 5 (1). pp. 73-77. ISSN 0001-7701. doi:10.1007/BF00758076.

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An outline of recent applications of modern infinite-dimensional manifold techniques to general relativity is presented. The uses, scope, and future of such methods are delineated. It is argued that the mixing of the two active fields of general relativity and global analysis provides stimulation for both fields as well as producing good theorems. The authors' work on linearization stability of the Einstein equations is sketched out to substantiate the arguments.

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Additional Information:© 1974 Plenum Publishing Company Limited. Received 12 July 1973. Editor's Note: This was the prize winning submission in this year's Gravity Research Foundation essay contest.
Issue or Number:1
Record Number:CaltechAUTHORS:20100806-091542839
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19314
Deposited By: Ruth Sustaita
Deposited On:06 Aug 2010 16:36
Last Modified:08 Nov 2021 23:51

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