Journal of the Chungcheong Mathematical Society (충청수학회지)

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

  • Yoo, Ki-Jo (Department of Mathematics Mokpo National University)
  • Received : 2010.05.12
  • Accepted : 2010.08.12
  • Published : 2010.09.30
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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 $^*g-MEX_n$.

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Acknowledgement

Supported by : Mokpo National University

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