This article is cited in 2 papers

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.

UDC: 514.764.2

MSC: 53C30, 53C50

Received March 18, 2018, published March 11, 2019

DOI: 10.33048/semi.2019.16.019

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