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A study on the contracted ES curvature tensor in g - ESX_n
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This paper is a direct continuation of [1]. In this paper we derive tensorial representations of contracted ES curvature tensors of g - ESX_ n and prove several generalized identities involving them. In particular, a variation of the generalized Bianchi's identity in g - ESX_n, which has a great deal of useful physical applications, is proved in Theorem (2.9).
Abstract
This paper is a direct continuation of [1]. In this paper we derive tensorial representations of contracted ES curvature tensors of g - ESX_ n and prove several generalized identities involving them. In particular, a variation of the generalized Bianchi's identity in g - ESX_n, which has a great deal of useful physical applications, is proved in Theorem (2.9).
참고문헌 (9)
- 황인호, "ON THE ES CURVATURE TENSOR IN g − ESX_n", 한국수학논문집, 19(1), pp.25~32 (2011), 강원경기수학회
- 황인호, "A study on the recurrence relations and vectors Xλ,Sλ and Uλ in g - ESXn", 한국수학논문집, 18(2), pp.133~139 (2010), 강원경기수학회
- 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-unied eld theory", Int. J. Theor. Phys, 27(9), pp.1105~1136 (1988)
- Chung, K.T, "Einstein's connection in terms of *g", Nuovo cimento Soc. Ital. Fis. B, 27(X), pp.1297~1324 (1963)
- Datta, D.k, "Some theorems on symmetric recurrent tensors of the second order", Tensor, 15, pp.1105~1136 (1964)
- Einstein, A., "The meaning of relativity" (1950), Princeton University Press
- Hlavaty, V, "Geometry of Einstein's unied eld theory" (1957), Noordhoop Ltd
- Mishra, R.S., "n-dimensional considerations of unied eld theory of relativity", Tensor, 9, pp.218~225 (1959)
관련 논문AI추천
ON THE ES CURVATURE TENSOR IN g − ESX_n황인호강원경기수학회 · 한국수학논문집2011 · 제19권 제1호On the field equations in g - ESXn황인호강원경기수학회 · 한국수학논문집2013 · 제21권 제1호A study on the recurrence relations and vectors Xλ,Sλ and Uλ in g - ESXn황인호강원경기수학회 · 한국수학논문집2010 · 제18권 제2호On the algebra of 3-dimensional ES-manifold황인호강원경기수학회 · 한국수학논문집2014 · 제22권 제1호The study on the Einstein's connection in $5$-dimensional $ES$-manifold for the second class황인호강원경기수학회 · 한국수학논문집2018 · 제26권 제1호Einstein's connection in $3$-dimensional $ES$-manifold황인호강원경기수학회 · 한국수학논문집2015 · 제23권 제2호
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