Geodesic
Affine connections on three-dimensional pseudo-Riemannian homogeneous spaces.~II
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2014), pp. 33-47

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This paper describes all invariant affine connections on three-dimensional pseudo-Riemannian homogeneous spaces of dimension 3. We present complete local classification of pseudo-Riemannian homogeneous spaces. It is equivalent to the description of effective pairs of Lie algebras supplied with an invariant nondegenerate symmetric bilinear form on the isotropy module. We describe all invariant affine connections on pseudo-Riemannian homogeneous spaces together with their curvature and torsion tensors, and choose pseudo-Riemannian connections.
Mots-clés : invariant affine connection
Keywords: pseudo-Riemannian homogeneous spaces. 
@article{IVM_2014_6_a3,
     author = {N. P. Mozhey},
     title = {Affine connections on three-dimensional {pseudo-Riemannian} homogeneous {spaces.~II}},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {33--47},
     publisher = {mathdoc},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_6_a3/}
}
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N. P. Mozhey. Affine connections on three-dimensional pseudo-Riemannian homogeneous spaces.~II. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2014), pp. 33-47. http://geodesic.mathdoc.fr/item/IVM_2014_6_a3/