대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제40권3호
  • /
  • Pages.475-487
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  • 2003
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON THE GEOMETRY OF THE MANIFOLD MEX2n

  • Yoo, Ki-Jo (Department of Mathematics, Mokpo National University)
  • 발행 : 2003.08.01
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초록

A generalized even-dimensional Riemannian manifold defined by the ME-connection which is both Einstein and of the form (3.3) is called an even-dimensional ME-manifold and we denote it by $MEX_{2n}$. The purpose of this paper is to study a necessary and sufficient condition that there is an ME-connection, to derive the useful properties of some tensors, and to investigate a representation of the ME-vector in $MEX_{2n}$.

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참고문헌

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  6. Tensor v.9 Einsten's connection R.S.Mishra
  7. Tensor v.8 n-dimensional considerations of the basic principles A and B of the unified theory of relativity R.C.Wrede
  8. Tensor v.29 On semi-symmetric metric F-connection K.Yano;T.Imai