Curvature tensors unified field equations on SEXn |
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| Authors: | Kyung Tae Chung Il Young Lee |
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| Institution: | (1) Department of Mathematics, Yonsei University, Seoul, Korea;(2) Department of Mathematics, Pusan Industrial University, Pusan, Korea |
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| Abstract: | We study the curvature tensors and field equations in then-dimensional SE manifold SEXn. We obtain several basic properties of the vectorsS
 andU
and then of the SE curvature tensor and its contractions, such as a generalized Ricci identity, a generalized Bianchi identity, and two variations of the Bianchi identity satisfied by the SE Einstein tensor. Finally, a system of field equations is discussed in SEXn and one of its particular solutions is constructed and displayed. |
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