Seven-dimensional considerations of Einstein's connection. I. The recurrence relations of the first kind in n-g-UFT

Einstein's connection in a generalized Riemannian manifold Xn has been investigated by many authors for lower-dimensional cases n=2,…,6. In a series of papers, we obtain a surveyable tensorial representation of 7-dimensional Einstein's connection in terms of unified field tensor, with main...

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Bibliographic Details
Main Authors: Mi Ae Kim, Keum Sook So, Chung Hyun Cho, Kyung Tae Chung
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203012766
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Summary:Einstein's connection in a generalized Riemannian manifold Xn has been investigated by many authors for lower-dimensional cases n=2,…,6. In a series of papers, we obtain a surveyable tensorial representation of 7-dimensional Einstein's connection in terms of unified field tensor, with main emphasis on the derivation of powerful and useful recurrence relations which hold in X7. In this paper, we give a brief survey of Einstein's unified field theory and derive the recurrence relations of the first kind which hold in a general Xn. All considerations in this paper are restricted to the first and second classes only since the case of the third class, the simplest case, was already studied by many authors.
ISSN:0161-1712
1687-0425