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The Weyl Tensor

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A Perspective on Canonical Riemannian Metrics

Part of the book series: Progress in Mathematics ((PM,volume 336))

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Abstract

The goal of this chapter is to highlight some useful properties of the Weyl tensor that will be repeatedly used in the rest of the book. In particular, in the first section we recall the Bianchi identities and the commutation relations for the second and the third covariant derivatives of W.

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Catino, G., Mastrolia, P. (2020). The Weyl Tensor. In: A Perspective on Canonical Riemannian Metrics. Progress in Mathematics, vol 336. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-57185-6_3

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