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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 7, Pages 86–90
DOI: https://doi.org/10.26907/0021-3446-2019-7-86-90 (Mi ivm9485) 		 
Brief communications

Four-dimensional locally homogeneous pseudo-Riemannian manifolds with an isotropic Weyl tensor

S. V. Klepikova

Altai State University, 61 Lenina Ave., Barnaul, 656049 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-7-86-90
Abstract: We investigate four-dimensional locally homogeneous pseudo-Riemannian manifolds with an isotropic Weyl tensor. An algorithm for obtaining a complete classification of such manifolds is described.
Keywords: locally homogeneous pseudo-Riemannian manifold, Lie algebra, isotropic Weyl tensor.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00033_мол_а
Received: 01.02.2019
Revised: 01.02.2019
Accepted: 27.03.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 7, Pages 75–79
DOI: https://doi.org/10.3103/S1066369X19070089
Bibliographic databases:
Document Type: Article
UDC: 514.764.2
Language: Russian
Citation: S. V. Klepikova, “Four-dimensional locally homogeneous pseudo-Riemannian manifolds with an isotropic Weyl tensor”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 7, 86–90; Russian Math. (Iz. VUZ), 63:7 (2019), 75–79
Citation in format AMSBIB
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\paper Four-dimensional locally homogeneous pseudo-Riemannian manifolds with an isotropic Weyl tensor
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\issue 7
\pages 86--90
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\issue 7
\pages 75--79
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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