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http://dx.doi.org/10.14403/jcms.2011.24.4.23

AN EINSTEIN'S CONNECTION WITH ZERO TORSION VECTOR IN EVEN-DIMENSIONAL UFT Xn  

Lee, Jong Woo (Department of Mathematics Yonsei University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.24, no.4, 2011 , pp. 869-881 More about this Journal
Abstract
The main goal in the present paper is to obtain a necessary and sufficient condition for a new connection with zero torsion vector to be an Einstein's connection and derive some useful representation of the vector defining the Einstein's connection in even-dimensional UFT $X_n$.
Keywords
Einstein's connection; Einstein's equation; Einstein's vector; torsion tensor; torsion vector; unified field theory; UFT;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 A. Einstein, The meaning of relativity, Princeton University Press, Princeton, New Jersey, 1950.
2 J. W. Lee, Field equations of SE(k)-manifold $X_{n}$, International Journal of Theoretical Physics 30 (1991), 1343-1353.   DOI   ScienceOn
3 J. W. Lee, Some reciprocal relations between the g-unified and $^{\ast}g$-unified field tensor, Comm. Korean Math. Soc. 23 (2008), no. 2, 229-239.   DOI   ScienceOn
4 J. W. Lee and K. T. Chung, A solution of Einstein's unified field equations, Comm. Korean Math. Soc. 11 (1996), no. 4, 1047-1053.
5 K. T. Chung and D. H. Cheoi, Relations of two n-dimensional unified field theories, Acta Math. Hung. 45 (1985), 141-149.   DOI   ScienceOn
6 K. T. Chung and H. W. Lee, n-dimensional considerations of indicators, Yonsei Nonchong. Yonsei Univ. 12 (1975), 1-5.
7 R. S. Mishra, n-dimensional considerations of the unified field theory of relativity, Tensor, N. S. 8 (1958), 95-122.
8 V. Hlavaty, Geometry of Einstein's unified field theory, P. Noordhoff Ltd. New York, 1957.