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The differential geometry of a continuous infinitude of contravariant functional vectors

Michal, Aristotle D. (1930) The differential geometry of a continuous infinitude of contravariant functional vectors. Proceedings of the National Academy of Sciences of the United States of America, 16 (2). pp. 162-164. ISSN 0027-8424. http://resolver.caltech.edu/CaltechAUTHORS:MICpnas30b

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Abstract

1. Introduction. - A general theory of function space affinely connected manifolds has been developed by the author in several publications (2). In this paper I propose to give a number of new results pertaining to the differential geometry and invariant theory of a continuous infinitude of contravariant functional vectors. An application is made of these results to the differential geometry of functional group vectors of infinite groups of functional transformations. It is my intention to publish the complete results and proofs elsewhere.


Item Type:Article
Additional Information:Copyright © 1930 by the National Academy of Sciences. Communicated December 27, 1929
Record Number:CaltechAUTHORS:MICpnas30b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:MICpnas30b
Alternative URL:http://www.pnas.org/content/vol16/issue2/
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5739
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:31 Oct 2006
Last Modified:26 Dec 2012 09:14

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