• Communications of the Korean Mathematical Society
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• v.16 no.4
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• pp.637-648
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• 2001

An n-dimensional ME-manifold ME $X_{n}$ is a general-ized Riemannian manifold connected by the ME-connection which is both Einstein and of the form (2.13). The purpose of this paper is to study the properties of the ME-curvature tensors, the con-tracted ME-curvature tensors and the field equations in ME $X_{n}$)n)

• Honam Mathematical Journal
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• v.30 no.4
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• pp.603-616
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• 2008

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 $^*g-MEX_n$.

• Korean Journal of Mathematics
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• v.6 no.2
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• pp.213-220
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• 1998

We investigate change of the torsion tensor induced by the conformal change in 5-dimensional $g$-unified field theory. These topics will be studied for the second class in 5-dimensional case.

• Bulletin of the Korean Mathematical Society
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• v.41 no.4
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• pp.731-737
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• 2004

We investigate change of the tensor ${U^{v}}_{\omega\mu}$ induced by the conformal change in 7-dimensional g-unified field theory. These topics will be studied for the second class with the first category in 7-dimensional case.

• Korean Journal of Mathematics
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• v.4 no.2
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• pp.163-171
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• 1996

We investigate change of the torsion tensor induced by the conformal change in 6-dimensional $g$-unified field theory. These topics will be studied for the second class with the second category in 6-dimensional case.

• Korean Journal of Mathematics
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• v.12 no.2
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• pp.185-191
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• 2004

We investigate change of the vector $U_{\mu}$ induced by the conformal change in 5-dimensional $g$-unified field theory. These topics will be studied for the second class in 5-dimensional case.

• Korean Journal of Mathematics
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• v.11 no.1
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• pp.9-15
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• 2003

We investigate change of the vector $S_{\omega}$ induced by the conformal change in 5-dimensional $g$-unified field theory. These topics will be studied for the second class in 5-dimensional case.

• Korean Journal of Mathematics
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• v.13 no.2
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• pp.209-215
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• 2005

We investigate change of the vector $S_{\omega}$ induced by the conformal change in 7-dimensional $g$-unified field theory. These topics will be studied for the second class with the first category in 7-dimensional case.

• Korean Journal of Mathematics
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• v.5 no.2
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• pp.141-149
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• 1997

We investigate chnage of the tensor $U^{\nu}{_{\lambda}{\mu}}$ induced by the conformal change in 6-dimensional $g$-unified field theory. These topics will be studied for the second class with the second category in 6-dimensional case.

• Bulletin of the Korean Mathematical Society
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• v.38 no.1
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• pp.197-203
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• 2001

We investigate change of the torsion tensor $S_\omega\mu^\nu$ induced by the conformal change in 7-dimensional g-unified field theory. These topics will be studied for the second class with the first category in 7-dimensional case.