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This article is cited in 1 scientific paper (total in 1 paper)
Geometry and topology
Four-dimensional metric Lie groups with zero Schouten–Weyl tensor
P. N. Klepikov Altai State University,
61, Lenina ave.,
Barnaul, 656049, Russia
Abstract:
In this paper we investigate a left-invariant (pseudo)Riemannian metrics on four-dimensional Lie groups with zero Schouten–Weyl tensor. A complete classification of metric Lie algebras of such Lie groups is obtained.
Keywords:
left-invariant (pseudo)Riemannian metrics, Lie groups, Ricci operator, Schouten–Weyl tensor, Segre types.
Received March 18, 2018, published March 11, 2019
Citation:
P. N. Klepikov, “Four-dimensional metric Lie groups with zero Schouten–Weyl tensor”, Sib. Èlektron. Mat. Izv., 16 (2019), 271–330
Linking options:
https://www.mathnet.ru/eng/semr1061 https://www.mathnet.ru/eng/semr/v16/p271
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