Four-dimensional locally homogeneous pseudo-Riemannian manifolds with an isotropic Weyl tensor
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2019), pp. 86-90

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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.
@article{IVM_2019_7_a7,
     author = {S. V. Klepikova},
     title = {Four-dimensional locally homogeneous {pseudo-Riemannian} manifolds with an isotropic {Weyl} tensor},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--90},
     publisher = {mathdoc},
     number = {7},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_7_a7/}
}
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S. V. Klepikova. Four-dimensional locally homogeneous pseudo-Riemannian manifolds with an isotropic Weyl tensor. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2019), pp. 86-90. http://geodesic.mathdoc.fr/item/IVM_2019_7_a7/