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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 8, Pages 92–97 (Mi ivm9273)  
Brief communications

Left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with nonzero Schouten–Weyl tensor

P. N. Klepikov

Altai State University, 61 Lenin Ave., Barnaul, 656049 Russia
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Abstract: In this paper we investigate metrics on Lie groups with zero Schouten–Weyl tensor. We obtain a complete classification of metric Lie algebras of such Lie groups.
Keywords: left-invariant pseudo-Riemannian metrics, Lie groups, Schouten–Weyl tensor, Ricci operator, Segre types.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00336_а
16-31-00048_мол_а
Ministry of Education and Science of the Russian Federation 1148
Received: 26.02.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 8, Pages 81–85
DOI: https://doi.org/10.3103/S1066369X17080102
Bibliographic databases:
Document Type: Article
UDC: 514.764
Language: Russian
Citation: P. N. Klepikov, “Left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with nonzero Schouten–Weyl tensor”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 8, 92–97; Russian Math. (Iz. VUZ), 61:8 (2017), 81–85
Citation in format AMSBIB
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\by P.~N.~Klepikov
\paper Left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with nonzero Schouten--Weyl tensor
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 8
\pages 92--97
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\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 8
\pages 81--85
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