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On harmonic tensors in three-dimensional Lie groups with a left-invariant Lorentz metric - MaRDI portal

On harmonic tensors in three-dimensional Lie groups with a left-invariant Lorentz metric (Q2895858)

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scientific article; zbMATH DE number 6055351
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On harmonic tensors in three-dimensional Lie groups with a left-invariant Lorentz metric
scientific article; zbMATH DE number 6055351

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    13 July 2012
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    Schouten-Weyl tensor
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    On harmonic tensors in three-dimensional Lie groups with a left-invariant Lorentz metric (English)
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    This paper gives a classification for \(3\)-dimensional Lie groups with left-invariant Lorentz metric and almost harmonic (i.e., with zero curl and divergence) Schouten-Weyl tensor. The main tool of this work is an antisymmetric \(2\)-tensor and a special studied case is when this tensor is itself harmonic.
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