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Light rays joining two submanifolds in space-times - MaRDI portal

Light rays joining two submanifolds in space-times (Q1360577)

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scientific article; zbMATH DE number 1036749
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English
Light rays joining two submanifolds in space-times
scientific article; zbMATH DE number 1036749

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    Light rays joining two submanifolds in space-times (English)
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    12 February 1998
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    In the paper [\textit{D. Fortunato}, \textit{F. Giannoni} and \textit{A. Masiello}, J. Geom. Phys. 15, No. 2, 159-188 (1995; Zbl 0819.53037)], lightlike geodesics joining an event to a vertical line have been studied. In this paper, the number of light rays joining two submanifolds in a stationary Lorentz manifold is estimated by the category of the product of the two manifolds under certain additional conditions.
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    variational methods
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    Lyusternik-Schnirelman category
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    general relativity
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    light rays
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