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- W4308161855 abstract "We study the natural property of projectability of a torsion-free connection along a foliation on the underlying manifold, which leads to a projected torsion-free connection on a local leaf space, focusing on projectability of Levi-Civita connections of pseudo-Riemannian metric along foliations tangent to null parallel distributions. For the neutral metric signature and mid-dimensional distributions, Afifi showed in 1954 that projectability of the Levi-Civita connection characterizes, locally, the case of Patterson and Walker's Riemann extension metrics. We extend this correspondence to null parallel distributions of any dimension, introducing a suitable generalization of Riemann extensions." @default.
- W4308161855 created "2022-11-08" @default.
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- W4308161855 date "2022-11-02" @default.
- W4308161855 modified "2023-10-14" @default.
- W4308161855 title "Null-projectability of Levi-Civita connections" @default.
- W4308161855 doi "https://doi.org/10.48550/arxiv.2211.01167" @default.
- W4308161855 hasPublicationYear "2022" @default.
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