Projective structure in 4-dimensional manifolds with metric signature \((+,+,-,-)\) (Q1947588)
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scientific article; zbMATH DE number 6156356
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projective structure in 4-dimensional manifolds with metric signature \((+,+,-,-)\) |
scientific article; zbMATH DE number 6156356 |
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Projective structure in 4-dimensional manifolds with metric signature \((+,+,-,-)\) (English)
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22 April 2013
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The authors consider the situation of a 4-dimensional manifold admitting two metric connections, one of which is compatible with a metric of signature \((+,+, -,-)\), and which have the same unparametrised geodesics. They show how, in many cases, depending on the holonomy type, a relationship between these connections and metrics can be found.
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projective structures
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geodesics
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neutral signature
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holonomy
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