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Harmonic Tensors on Three-Dimensional Lie Groups with Left-Invariant Lorentz Metric

✍ Scribed by Gladunova, O. P.; Rodionov, E. D.; Slavskii, V. V.

Book ID: 125364641
Publisher: Springer US
Year: 2014
Tongue: English
Weight: 381 KB
Volume: 198
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-014-1806-2

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## Abstract For each simply connected three‐dimensional Lie group we determine the automorphism group, classify the left invariant Riemannian metrics up to automorphism, and study the extent to which curvature can be altered by a change of metric. Thereby we obtain the principal Ricci curvatures, t