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

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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.

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Authors and Affiliations

  1. Altai State University, pr. Lenina 61, Barnaul, 656049, Russia

    P. N. Klepikov

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  1. P. N. Klepikov
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Correspondence to P. N. Klepikov.

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Original Russian Text © P.N. Klepikov, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 8, pp. 92–97.

Submitted by S.K. Vodop’yanov

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Klepikov, P.N. Left-invariant pseudo-Riemannian metrics on four-dimensional lie groups with nonzero Schouten–Weyl tensor. Russ Math. 61, 81–85 (2017). https://doi.org/10.3103/S1066369X17080102

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  • DOI: https://doi.org/10.3103/S1066369X17080102

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