On conformally flat pseudosymmetric spaces (Q2703564)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On conformally flat pseudosymmetric spaces |
scientific article |
Statements
7 March 2001
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irreducible symmetric space
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space of constant curvature
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conformally flat pseudosymmetric space
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On conformally flat pseudosymmetric spaces (English)
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An irreducible symmetric space is Einstein. Therefore if it is also conformally flat, it is a space of constant curvature. In this paper the authors show that a conformally flat pseudosymmetric space is a space of quasi-constant curvature. This is shown by proving that a conformally flat pseudosymmetric space admits a proper concircular vector field, which in turn implies that the space under consideration is a warped product \(I\times e^q M\), where \(M\) is a space of constant curvature.
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