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The manifold $ {}^*{g} - ESX_n $ is a generalized $ n $-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor $ {}^*{g}^{ \lambda \nu } $ through the $ ES $-connection which is both Einstein and semi-symmetric. The purpose of the present paper is to study the algebraic geometric structures of $5$-dimensional ${}^*{g}-ESX_5$. Particularly, in $5$-dimensional ${}^*{g}-ESX_5$, we derive a new set of powerful recurrence relations in the first class.
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참고문헌 (5)
참고문헌 신청
K. T. Chung / 1963 / Einstein's connection in terms of *gλυ / Nuovo cimento Soc. Ital. Fis. B 27:1297~1324
D.k. Datta / 1964 / Some theorems on symmetric recurrent tensors of the second order / Tensor (N.S.) 15:1105~1136
A. Einstein / 1950 / The meaning of relativity / Princeton University Press
V. Hlavaty / 1957 / Geometry of Einstein's unified field theory / Noordhoop Ltd
R.S. Mishra / 1959 / n-dimensional considerations of unified field theory of relativity / Tensor 9:217~225
D.k. Datta / 1964 / Some theorems on symmetric recurrent tensors of the second order / Tensor (N.S.) 15:1105~1136
A. Einstein / 1950 / The meaning of relativity / Princeton University Press
V. Hlavaty / 1957 / Geometry of Einstein's unified field theory / Noordhoop Ltd
R.S. Mishra / 1959 / n-dimensional considerations of unified field theory of relativity / Tensor 9:217~225
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