标题：Seven-dimensional considerations of Einstein's connection. I. The recurrence relations of the first kind in <mml:math alttext="$n$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>n</mml:mi></mml:math>-<mml:math alttext="$g$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>g</mml:mi></mml:math>-UFT
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2003
卷号：2003
DOI：10.1155/S0161171203012766
出版社：Hindawi Publishing Corporation
摘要：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.
