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2019, no. 4

ON ALMOST EINSTEIN LOCALLY HOMOGENEOUS (PSEUDO)RIEMANNIAN MANIFOLDS

Klepikov P.N., Oskorbin D.N., Rodionov E.D.

This article is a small review of recent studies on various generalizations of the theory of Einstein manifolds, as well as their classification in the case of locally homogeneous spaces of small dimension.

Keywords: Einstein-like (pseudo)Riemannian manifolds, Ricci solitons, conformally flat manifolds, isotropicWeyl and SchoutenWeyl tensors, Ricci tensor.

UDC: 530.12, 514.764.22, 514.765.2

PACS: 02.40.Ky

DOI: 10.17238/issn2226-8812.2019.4.48-65

Please cite this article in English as:
Klepikov P.N., Oskorbin D.N., Rodionov E.D. On Almost Einstein Locally Homogeneous (pseudo)Riemannian Manifolds. Space, Time and Fundamental Interactions, 2019, no. 4, pp. 48-65.