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// Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
// Archive
Izv. Vyssh. Uchebn. Zaved. Mat.,
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
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.
UDC:
514.764
Received:
26.02.2017
Fulltext:
PDF file (174 kB)
References
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017,
61
:8,
81–85
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024