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- W2952384249 abstract "We prove that a foliation $(M, F)$ of codimension $q$ on a $n$-dimen-sio-nal pseudo-Riemannian manifold is pseudo-Riemannian if and only if any geodesic that is orthogonal at one point to a leaf is orthogonal to every leaf it intersects. We show that on the graph $G = G(F)$ of a pseudo-Riemannian foliation there exists a unique pseudo-Riemannian metric such that canonical projections are pse-u-do-Rieman-ni-an submersions and the fibres of different projections are orthogonal at common points. Relatively this metric the induced foliation $(G,mathbb{F})$ on the graph is pseudo-Riemannian and the structure of the leaves of $(G,mathbb{F})$ is described. Special attention is given to the structure of graphs of transversally (geodesically) complete pseudo-Riemannian foliations and totally geodesic pseudo-Riemannian ones." @default.
- W2952384249 created "2019-06-27" @default.
- W2952384249 creator A5089612501 @default.
- W2952384249 date "2016-11-27" @default.
- W2952384249 modified "2023-09-27" @default.
- W2952384249 title "Pseudo-Riemannian foliations and their graphs" @default.
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- W2952384249 hasPublicationYear "2016" @default.
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