Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A STUDY ON THE RECURRENCE RELATIONS AND VECTORS Xλ, Sλ AND Uλ IN g - ESXn

  • Hwang, In Ho (Department of Mathematics University of Incheon)
  • Received : 2010.03.09
  • Accepted : 2010.06.07
  • Published : 2010.06.30
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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 unified field tensor $g_{{\lambda}{\mu}}$ through the ES-connection which is both Einstein and semi-symmetric. In this paper, we investigate the properties of the vectors $X_{\lambda}$, $S_{\lambda}$ and $U_{\lambda}$ of $g-ESX_n$, with main emphasis on the derivation of several useful generalized identities involving it.

Keywords

Acknowledgement

Supported by : University of Incheon

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