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http://dx.doi.org/10.14403/jcms.2010.23.3.495

ON THE REPRESENTATION OF THE *g-ME-VECTOR IN *g-MEXn  

Yoo, Ki-Jo (Department of Mathematics Mokpo National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.3, 2010 , pp. 495-510 More about this Journal
Abstract
An Einstein's connection which takes the form (2.23) is called a $^*g$-ME-connection and the corresponding vector is called a $^*g$-ME-vector. The $^*g$-ME-manifold is a generalized n-dimensional Riemannian manifold $X_n$ on which the differential geometric structure is imposed by the unified field tensor $^*g^{{\lambda}{\nu}}$, satisfying certain conditions, through the $^*g$-ME-connection and we denote it by $^*g-MEX_n$. The purpose of this paper is to derive a general representation and a special representation of the $^*g$-ME-vector in $^*g-MEX_n$.
Keywords
$^*g-MEX_n$; $^*g$-ME-connection; $^*g$-ME-vector;
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