Normal connections on three-dimensional manifolds with solvable transformation group
- 作者: Mozhey N.1
-
隶属关系:
- Kazan Federal University
- 期: 卷 37, 编号 2 (2016)
- 页面: 160-176
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197448
- DOI: https://doi.org/10.1134/S1995080216020116
- ID: 197448
如何引用文章
详细
The purpose of the work is the classification of three-dimensional homogeneous spaces, allowing a normal connection, description of invariant affine connections on those spaces together with their curvature and torsion tensors, holonomy algebras. We consider only the case, when Lie group is solvable. The local classification of homogeneous spaces is equivalent to the description of the effective pairs of Lie algebras. We study the holonomy algebras of homogeneous spaces and find when the invariant connection is normal. Studies are based on the use of properties of the Lie algebras, Lie groups and homogeneous spaces and they mainly have local character.
作者简介
N. Mozhey
Kazan Federal University
编辑信件的主要联系方式.
Email: mozheynatalya@mail.ru
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, 420008
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