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On a type of tensor and its relativistic significance - MaRDI portal

On a type of tensor and its relativistic significance (Q2770925)

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scientific article; zbMATH DE number 1704359
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English
On a type of tensor and its relativistic significance
scientific article; zbMATH DE number 1704359

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    29 February 2004
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    projective Ricci tensor
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    Einstein space
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    empty gravitational field
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    non-null electromagnetic field
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    purely electrical field
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    Rainich conditions
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    projective curvature tensor
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    On a type of tensor and its relativistic significance (English)
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    The authors consider the projective Ricci tensor \(P\), in an \(n\)-dimensional Riemannian space \(V^n\). They prove that \(P\) vanishes iff \(V^n\) is an Einstein space. Finally, the case of an electromagnetic field is studied.
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