Conformally Recurrent Semi-Riemannian Manifolds

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS(2005)

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摘要
In this paper we give a complete classification of conformally recurrent semi- Riemannian manifolds with harmonic conformal curvature tensor and to give another generalization of conformally symmetric Riemannian manifolds. Moreover, we give a nontrivial example which is neither locally symmetric nor conformally flat.
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关键词
Weyl curvature tensor,conformally symmetric,conformallike curvature tensor,semi-Riemannian manifold
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