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Pseudo-Riemannian foliations and their graphs
Cornell University
,
2016.
Zhukova N., Dolgonosova A.
We prove that a foliation (M,F) of codimension q on a n-dimensional 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 pseudo-Riemannian submersions and the fibres of different projections are orthogonal at common points. Relatively this metric the induced foliation (G,F) on the graph is pseudo-Riemannian and the structure of the leaves of (G,F) is described. Special attention is given to the structure of graphs of transversally (geodesically) complete pseudo-Riemannian foliations which are totally geodesic pseudo-Riemannian ones.
Keywords: Pseudo-Riemannian foliationEhresmann connection of a foliation geodesically invariant distributiongraph of a foliation
Publication based on the results of:
A. Yu. Dolgonosova, Zhukova N., Lobachevskii Journal of Mathematics 2018 Vol. 39 No. 1 P. 54-64
We prove that a foliation (M;F) of codimension q on a ndimensional 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 ...
Added: March 23, 2017
Zhukova N., Ufa Mathematical Journal 2019 Vol. 11 No. 3 P. 30-44
We study totally geodesic foliations (M, F) of arbitrary codimension q on n-dimensional pseudo-Riemannian manifolds, for which the induced metrics on leaves is nondegenerate.
We assume that the q-dimensional orthogonal distribution M to (M, F) is an
Ehresmann connection for this foliation. Since the usual graph G(F) is not Hausdorff
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We investigate totally geodesic foliations $(M, F)$ of arbitrary codimension $q$ on $n$-dimensional pseudo-Riemannian manifolds for which the induced metrics on leaves don't degenerate. We assume that the $q$-dimensional orthogonal distribution $\mathfrak{M}$ to $(M, F)$ is an Ehresmann connection for this foliation. Since the usual graph $G(F)$ is not Hausdorff manifold in general, we investigate ...
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Arzhantsev I., Journal of Lie Theory 2000 Vol. 10 No. 2 P. 345-357
Added: July 8, 2014
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Added: May 17, 2017
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