A study on the recurrence relations and vectors Xλ,Sλ and Uλ in g - ESXn
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The manifold g - ESX n is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor gλμthrough the ES-connection which is both Einstein and semi-symmetric. In this paper, we investigate the properties of the vectors Xλ, Sλ and Uλ of g-ESXn, with main emphasis on the derivation of several useful generalized identities involving it.
Abstract
The manifold g - ESX n is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor gλμthrough the ES-connection which is both Einstein and semi-symmetric. In this paper, we investigate the properties of the vectors Xλ, Sλ and Uλ of g-ESXn, with main emphasis on the derivation of several useful generalized identities involving it.
참고문헌 (7)
- Hwang, I. H., "A study on the geometry of 2-dimensional RE-manifold X2", J. Korean Math. Soc., 32(2), pp.301~309 (1995)
- Hwang, I. H., "Three- and Five- dimensional considerations of the geometry of Einstein's g-unified field theory", Internat. J. Theoret. Phys., 27(9), pp.1105~1136 (1988)
- Chung, K. T., "Einstein's connection in terms of *gλv", Nuovo Cimento Soc. Ital. Fis. B, 27, pp.1297~1324 (1963)
- Datta, D. k., "Some theorems on symmetric recurrent tensors of the second order", Tensor (N.S.), 15, pp.1105~1136 (1964)
- Einstein, A., "The meaning of relativity" (1950), Princeton University Press
- Hlavaty, V., "Geometry of Einstein's unified field theory" (1957), Noordhoop Ltd.
- Mishra, R. S., "n-dimensional considerations of unified field theory of relativity", Tensor (N.S.), 9, pp.217~225 (1959)