# ON THE *g-ME-CONNECTION AND THE *g-ME-VECTOR IN *g-MEXn

Yoo, Ki-Jo

• Published : 2008.12.25
• 30 3

#### Abstract

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 which is both Einstein's equation and of the form(3.1) is called $^*g$-ME-manifold and we denote it by $^*g-MEX_n$. In this paper, we prove a necessary and sufficient condition for the existence of $^*g$-ME-connection and derive a surveyable tensorial representation of the $^*g$-ME-connection and the $^*g$-ME-vector in $^*g-MEX_n$.

#### Keywords

$^*g-MEX_n$;$^*g$-ME-connection;$^*g$-ME-vector

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