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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.
Received: 01.02.2019 Revised: 01.02.2019 Accepted: 27.03.2019
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
Linking options:
https://www.mathnet.ru/eng/ivm9485 https://www.mathnet.ru/eng/ivm/y2019/i7/p86
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