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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/15932

Title: A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics
Authors: Bolsinov, Alexey V.
Kiosak, Volodymyr
Matveev, Vladimir S.
Issue Date: 2009
Publisher: Oxford Journals (© London Mathematical Society)
Citation: BOLSINOV, A.V., KIOSAK, V. and MATVEEV, V.S., 2009. A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics. Journal of the London Mathematical Society, 80 (2), pp. 341-356.
Abstract: We generalize the following classical result of Fubini to pseudo-Riemannian metrics: if three essentially different metrics on an (n ≥ 3)-dimensional manifold M share the same unparametrized geodesics, and two of them (say, g and g) are strictly nonproportional (that is, the minimal polynomial of the g-self-adjoint (1, 1)-tensor defined by g coincides with the characteristic polynomial) at least at one point, then they have constant sectional curvature.
Description: This is the submitted version. The final published version can be found at: http://dx.doi.org/10.1112/jlms/jdp032
Version: Submitted for publication
DOI: 10.1112/jlms/jdp032
URI: https://dspace.lboro.ac.uk/2134/15932
Publisher Link: http://dx.doi.org/10.1112/jlms/jdp032
ISSN: 0024-6107
Appears in Collections:Published Articles (Maths)

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