Weyl tensor

(redirected from Conformal tensor)

Weyl tensor

[′wīl ‚ten·sər]
(relativity)
A tensor with the symmetries of the curvature tensor such that all contractions on its indices vanish; the curvature tensor is decomposable in terms of the metric, the scalar curvature, and the Weyl tensor.
References in periodicals archive ?
beta][mu]v] (x, u) [not equal to] 0, where W (x, u) is the generalized Weyl conformal tensor.
A pseudo-Riemannian manifold of dimension n [greater than or equal to] 4 is called essentially conformally symmetric if it is conformally symmetric [2] (in the sense that its Weyl conformal tensor is parallel) without being conformally flat or locally symmetric.
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