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Projective functional tensors and other allied functionals

Michal, Aristotle D. (1930) Projective functional tensors and other allied functionals. Proceedings of the National Academy of Sciences of the United States of America, 16 (2). pp. 165-168. ISSN 0027-8424. http://resolver.caltech.edu/CaltechAUTHORS:MICpnas30d

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Abstract

Introduction. - Some time ago I discovered a sequence of functionals (1) that is the correspondent in function space (2) of Weyl's projective curvature tensor in n dimensions (3). Since then, I have succeeded in finding a sequence of non-tensor functionals (4) with the property that each functional of the sequence remains unaltered under an arbitrary projective functional transformation (1) of the functional affine connection. It is the object of this note to outline briefly the results obtained in the above studies. A detailed presentation with proofs as well as an account of numerous results and theorems that flow out of the ideas and methods of the present note is reserved for a series of papers to be published elsewhere.


Item Type:Article
Additional Information:Copyright © 1930 by the National Academy of Sciences. Communicated December 27, 1929.
Record Number:CaltechAUTHORS:MICpnas30d
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:MICpnas30d
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:5737
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:31 Oct 2006
Last Modified:26 Dec 2012 09:14

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