Eight-dimensional Einsteins connection for the second class I. The recurrence relations in 8-g-UFT

다국어 초록 (Multilingual Abstract)

Lower dimensional cases of Einstein’s connection were
already investigated by many authors for n = 2; 3; 4; 5; 6; 7. This
paper is the first part of the following series of two papers, in which
we obtain a surveyable tensorial representation of 8-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 8-dimensional Einstein’s unified field theory(i.e.,
8-g-UFT):
I. The recurrence relations in 8-g-UFT
II. The Einstein’s connection in 8-g-UFT
All considerations in these papers are restricted to the second
class only, since the case of the first class are done in [1], [2] and
the case of the third class, the simplest case, was already studied
by many authors.

참고문헌 (Reference)

1 "n-dimensional considerations of the basic principles A and B of theunified theory of relativity" 95-122, 1958

2 "The necessary and sufficient condition for the existence of theunique connection of the 2-dimensional generalized Riemann space" (s.) : 20-, 1969

3 "The meaning of relativity" 1950

4 "The curvature tensors inthe Einstein’s ¤g-unified field theory. -I. The SE-curvature tensors of ¤g-SEXn" (4) : 35-, 1998

5 "The curvature tensors inthe Einstein’s ¤g-unified field theory" (4) : 35-, 1998

6 "Six-dimensional considerationsof Einstein’s connection for the first two classes." 1998

7 "Six-dimensional considerationsof Einstein’s connection for the first two classes" 1998

8 "On the algebra of 3-dimensional unified field theoryfor the third class Jour. of NSRI" Yonsei University 1-6, 1980

9 "On the Einstein’s connection of 3-dimensionalunified field theory of the second class Jour. of NSRI" Yonsei University 5-10, 1979

10 "On the Einstein’s connection of 3-dimensional unifiedfield theory of the third class Jour. of NSRI" Yonsei University 7-12, 1981

11 "Einstein’s connection in terms of ¤g¸º" 1297-1324, 1963

12 "Eight-dimensional Einstein’s connection for the first class -II TheEinstein’s connection in 8-g-UFT" 2004

13 "Eight-dimensional Einstein’s connection for the first class -I. Therecurrence relations in 8-g-UFT" 2004

14 "A study on the relations of two n-dimensionalunified field theories" 1 141-2 149, 1985