| Title: | Non-reductive homogeneous spaces, admitting affine connections |
| Authors: | Mozhey, N. P. |
| Keywords: | публикации ученых;affine connection;homogeneous space;holonomy algebra;reductive space;curvature tensor;torsion tensor |
| Issue Date: | 2018 |
| Publisher: | Sobolev Institute of Mathematics |
| Citation: | Mozhey, N. P. Non-reductive homogeneous spaces, admitting affine connections / N. P. Mozhey // Graphs and Groups, Representations and Relations, 2018 : abstracts of the International Conference and PhD-Master Summer School on Graphs and Groups, Representations and Relations / Sobolev Institute of Mathematics. - Novosibirsk, 2018. – P. 71 - 72. |
| Abstract: | The purpose of the work is a study of three-dimensional non-reductive homogeneous spaces, admitting invariant affine connections, description of the affine connections together with their curvature and torsion tensors, holonomy algebras. We describe all three-dimensional non-reductive homogeneous spaces, allowing invariant affine connections (the local classification of such spaces is equivalent to the description of the effective pairs of Lie algebras) and all invariant affine connections on the spaces together with their curvature and torsion tensors, holonomy algebras. Studies are based on the use of properties of the Lie algebras, Lie groups and homogeneous spaces and they mainly have local character. |
| URI: | https://libeldoc.bsuir.by/handle/123456789/33046 |
| Appears in Collections: | Публикации в зарубежных изданиях
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