S. V. Klepikova, “Four-dimensional locally homogeneous pseudo-Riemannian manifolds with an isotropic Weyl tensor”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, Number 7,Pages <nobr>86

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

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.

UDC: 514.764.2

Received: 01.02.2019
Revised: 01.02.2019
Accepted: 27.03.2019

DOI: 10.26907/0021-3446-2019-7-86-90