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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2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203012766 |
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doaj-ef298873385f468aa107812ec4896d442020-11-24T20:59:08ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-0120031277778710.1155/S0161171203012766Seven-dimensional considerations of Einstein's connection. I. The recurrence relations of the first kind in n-g-UFTMi Ae Kim0Keum Sook So1Chung Hyun Cho2Kyung Tae Chung3Department of Mathematics, Yonsei University, Seoul 120-749, KoreaDepartment of Mathematics, Hallym University, Chunchon 200-702, KoreaDepartment of Mathematics, Inha University, Inchon 402-751, KoreaDepartment of Mathematics, Yonsei University, Seoul 120-749, KoreaEinstein'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.http://dx.doi.org/10.1155/S0161171203012766 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mi Ae Kim Keum Sook So Chung Hyun Cho Kyung Tae Chung |
| spellingShingle |
Mi Ae Kim Keum Sook So Chung Hyun Cho Kyung Tae Chung Seven-dimensional considerations of Einstein's connection. I. The recurrence relations of the first kind in n-g-UFT International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Mi Ae Kim Keum Sook So Chung Hyun Cho Kyung Tae Chung |
| author_sort |
Mi Ae Kim |
| title |
Seven-dimensional considerations of Einstein's connection. I. The recurrence relations of the first kind in n-g-UFT |
| title_short |
Seven-dimensional considerations of Einstein's connection. I. The recurrence relations of the first kind in n-g-UFT |
| title_full |
Seven-dimensional considerations of Einstein's connection. I. The recurrence relations of the first kind in n-g-UFT |
| title_fullStr |
Seven-dimensional considerations of Einstein's connection. I. The recurrence relations of the first kind in n-g-UFT |
| title_full_unstemmed |
Seven-dimensional considerations of Einstein's connection. I. The recurrence relations of the first kind in n-g-UFT |
| title_sort |
seven-dimensional considerations of einstein's connection. i. the recurrence relations of the first kind in n-g-uft |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2003-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S0161171203012766 |
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