International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1999 / Article

Open Access

Volume 22 |Article ID 248604 | https://doi.org/10.1155/S0161171299224696

Kyung Tae Chung, Gye Tak Yang, In Ho Hwang, "Six-dimensional considerations of Einstein's connection for the first two classes. I. The recurrence relations in 6-g-UFT", International Journal of Mathematics and Mathematical Sciences, vol. 22, Article ID 248604, 14 pages, 1999. https://doi.org/10.1155/S0161171299224696

Six-dimensional considerations of Einstein's connection for the first two classes. I. The recurrence relations in 6-g-UFT

Received31 Jul 1998

Abstract

Lower dimensional cases of Einstein's connection were already investigated by many authors for n=2,3,4,5. This paper is the first part of the following series of two papers, in which we obtain a surveyable tensorial representation of 6-dimensional Einstein's connection in terms of the unified field tensor, with main emphasis on the derivation of powerful and useful recurrence relations which hold in 6-dimensional Einstein's unified field theory (i.e., 6-g-UFT):I. The recurrence relations in 6-g-UFT.II. The Einstein's connection in 6-g-UFT.All considerations in these papers 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.

Copyright © 1999 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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