Normal connections on three-dimensional manifolds with solvable transformation group
- Авторлар: Mozhey N.1
-
Мекемелер:
- Kazan Federal University
- Шығарылым: Том 37, № 2 (2016)
- Беттер: 160-176
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197448
- DOI: https://doi.org/10.1134/S1995080216020116
- ID: 197448
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
N. Mozhey
Kazan Federal University
Хат алмасуға жауапты Автор.
Email: mozheynatalya@mail.ru
Ресей, ul. Kremlevskaya 18, Kazan, 420008
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