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ON THE FIELD EQUATIONS IN g - ESXn

  • Received : 2013.02.19
  • Accepted : 2013.03.15
  • Published : 2013.03.30

Abstract

This paper is a direct continuation of [1] and [2]. In this paper we investigate some properties of ES-curvature tensor and contracted ES-curvature tensor of g - $ESX_n$. Also, we study the field equations in the n-dimensional ES manifold g - $ESX_n$.

Keywords

References

  1. Hwang, I.H., A study on the recurrence relations and vectors $X{\lambda},\;S{\lambda}$ and $U{\lambda}$ in g - $ESX_n$, Korean J. Math. 18 2010, No.2, 133-139
  2. Hwang, I.H., On the ES curvature tensor in in g - $ESX_n$, Korean J. Math. 19 2011, No.1, 25-32 https://doi.org/10.11568/kjm.2011.19.1.025
  3. Hwang, I.H., A study on the geometry of 2-dimensional RE-manifold $X_2$, J. Korean Math. Soc., 32 1995, No.2, 301-309
  4. Hwang, I.H., Three- and Five- dimensional considerations of the geometry of Einstein's g-unified field theory, Int.J. Theor. Phys., 27 1988, No.9, 1105-1136 https://doi.org/10.1007/BF00674354
  5. Chung, K.T., Einstein's connection in terms of $^*g^{{\lambda}{\nu}}$, Nuovo cimento Soc. Ital. Fis. B, 27 1963, (X), 1297-1324 https://doi.org/10.1007/BF02785628
  6. Datta, D.k., Some theorems on symmetric recurrent tensors of the second order, Tensor (N.S.) 15 1964, 1105-1136
  7. Einstein, A., The meaning of relativity, Princeton University Press, 1950
  8. Hlavaty, V., Geometry of Einstein's unified field theory, Noordhoop Ltd., 1957
  9. Mishra, R.S., n-dimensional considerations of unified field theory of relativity, Tensor 9 1959, 217-225