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- W4300542955 abstract "A necessary and sufficient condition for the leaves of a {em non-degenerate} foliation of a pseudo-Riemannian manifold to be conformally flat is developed. The condition mimics the classical condition of the vanishing of the Weyl or Cotton tensor establishing the conformal flatness of a pseudo-Riemannian manifold in the sense that it is also formulated in terms of the vanishing of certain tensors. These tensors play the role of the Weyl or the Cotton tensors and they are defined in terms of the the curvature of a linear torsion-free connection (the {em bi-conformal connection})." @default.
- W4300542955 created "2022-10-03" @default.
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- W4300542955 date "2012-12-24" @default.
- W4300542955 modified "2023-09-28" @default.
- W4300542955 title "On the characterization of non-degenerate foliations of pseudo-Riemannian manifolds with conformally flat leaves" @default.
- W4300542955 doi "https://doi.org/10.48550/arxiv.1212.5908" @default.
- W4300542955 hasPublicationYear "2012" @default.
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