Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A STUDY ON THE RECURRENCE RELATIONS OF 5-DIMENSIONAL ES-MANIFOLD

  • Hwang, In Ho (Department of Mathematics Incheon National University)
  • Received : 2016.03.23
  • Accepted : 2016.07.11
  • Published : 2016.09.30
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Abstract

The manifold $^*g-ESX_n$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unied eld tensor $^*g^{{\lambda}{\nu}}$ through the ES-connection which is both Einstein and semi-symmetric. The purpose of the present paper is to study the algebraic geometric structures of 5-dimensional $^*g-ESX_5$. Particularly, in 5-dimensional $^*g-ESX_5$, we derive a new set of powerful recurrence relations in the first class.

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Acknowledgement

Supported by : Incheon National University

References

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  3. A. Einstein, The meaning of relativity, Princeton University Press, 1950.
  4. V. Hlavaty, Geometry of Einstein's unified field theory, Noordhoop Ltd., 1957.
  5. R.S. Mishra, n-dimensional considerations of unified field theory of relativity, Tensor 9 (1959), 217-225.

Cited by

  1. EINSTEIN'S CONNECTION IN 5-DIMENSIONAL ES-MANIFOLD vol.25, pp.1, 2016, https://doi.org/10.11568/kjm.2017.25.1.127