Geometric interpretation of the Wagner curvature tensor in the case of a manifold with contact metric structure
- Авторлар: Galaev S.1
-
Мекемелер:
- Saratov State University
- Шығарылым: Том 57, № 3 (2016)
- Беттер: 498-504
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170481
- DOI: https://doi.org/10.1134/S0037446616030101
- ID: 170481
Дәйексөз келтіру
Аннотация
Considering a manifold (φ, ξ, η, g, X, D) with contact metric structure, we introduce the concept of N-extended connection (connection on a vector bundle (D, π,X)), with N an endomorphism of the distribution D, and show that the curvature tensor of each N-extended connection for a suitably chosen endomorphism N coincides with the Wagner curvature tensor.
Авторлар туралы
S. Galaev
Saratov State University
Хат алмасуға жауапты Автор.
Email: sgalaev@mail.ru
Ресей, Saratov