Harmonicity of the Weyl tensor of left-invariant Riemannian metrics on four-dimensional unimodular Lie groups |
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Authors: | O. P. Gladunova V. V. Slavskiĭ |
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Affiliation: | 1. Altai State University, Barnaul, 656049, Russia 2. Altai State Pedagogical Academy, Barnaul, 656031, Russia
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Abstract: | This paper provides a complete classification of the four-dimensional unimodular Lie algebras whose Lie groups are endowed with a left-invariant Riemannian metric and a harmonic Weyl tensor. |
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