Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지
DOI QR코드

DOI QR Code

ON THE ES CURVATURE TENSOR IN g - ESXn

  • Received : 2011.02.10
  • Accepted : 2011.03.10
  • Published : 2011.03.30
Download PDF
⟨ Previous Next ⟩

Abstract

This paper is a direct continuation of [1]. In this paper we investigate some properties of ES-curvature tensor of g - $ESX_n$, with main emphasis on the derivation of several useful generalized identities involving it. In this subsequent paper, we are concerned with contracted curvature tensors of g - $ESX_n$ and several generalized identities involving them. In particular, we prove the first variation of the generalized Bianchi's identity in g - $ESX_n$, which has a great deal of useful physical applications.

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(2) (2010), 133-139.
  2. Hwang, I.H., A study on the geometry of 2-dimensional RE-manifold $X_2$, J. Korean Math. Soc. 32(2) (1995), 301-309.
  3. Hwang, I.H., Three- and Five- dimensional considerations of the geometry of Einstein's g-unified field theory, Int. J . Theor. Phys. 27(9) (1988), 1105-1136. https://doi.org/10.1007/BF00674354
  4. Chung, K.T., Einstein's connection in terms of $^{*}g^{\lambda\nu}$, Nuovo Cimento Soc. Ital. Fis. B 27(X) (1963), 1297-1324. https://doi.org/10.1007/BF02785628
  5. Datta, D.k., Some theorems on symmetric recurrent tensors of the second order, Tensor (N.S.) 15 (1964), 1105-1136.
  6. Einstein, A., The meaning of relativity, Princeton University Press, 1950.
  7. Hlavaty, V., Geometry of Einstein's unified field theory, Noordhoop Ltd., 1957.
  8. Mishra, R.S., n-dimensional considerations of unified field theory of relativity, Tensor (N.S.) 9 (1959), 217-225.
  9. Werde, R.C., n-dimensional considerations of the basic principles A and B of the unified field theory of relativity, Tensor (N.S.) 8 (1958), 95-122.

Cited by

  1. A STUDY ON THE CONTRACTED ES CURVATURE TENSOR IN g-ESXn vol.19, pp.4, 2011, https://doi.org/10.11568/kjm.2011.19.4.381
  2. ON THE FIELD EQUATIONS IN g - ESXn vol.21, pp.1, 2011, https://doi.org/10.11568/kjm.2013.21.1.91