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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)
Publication Information
Korean Journal of Mathematics / v.18, no.2, 2010 , pp. 133-139 More about this Journal
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
ES-manifold; recurrent relation;
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