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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 2, Pages 3–30
(Mi vmj413)
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About invariant tensor fields on low dimensional Lie groups
D. S. Voronova, O. P. Gladunovab, E. D. Rodionova, V. V. Slavskiia a Altai State Pedagogical Academy, Barnaul, Russia
b Altai State University, Barnaul, Russia
Abstract:
Complete classification of possible signatures of the one dimensional curvature operator on three dimensional Lie groups with left-invariant Riemannian metric and complete classification of four-dimensional Lie algebras (up to isomorphism) of Lie groups with left-invariant Riemannian metrics and harmonic Weyl tensor are given in this paper.
Key words:
Lie algebras, Lie groups, left-invariant Riemannian metrics, one dimensional curvature, harmonic Weyl tensor.
Received: 26.10.2010
Citation:
D. S. Voronov, O. P. Gladunova, E. D. Rodionov, V. V. Slavskii, “About invariant tensor fields on low dimensional Lie groups”, Vladikavkaz. Mat. Zh., 14:2 (2012), 3–30
Linking options:
https://www.mathnet.ru/eng/vmj413 https://www.mathnet.ru/eng/vmj/v14/i2/p3
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Abstract page: | 295 | Full-text PDF : | 110 | References: | 30 | First page: | 1 |
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