Geometric interpretation of the Wagner curvature tensor in the case of a manifold with contact metric structure
- Authors: Galaev S.V.1
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Affiliations:
- Saratov State University
- Issue: Vol 57, No 3 (2016)
- Pages: 498-504
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170481
- DOI: https://doi.org/10.1134/S0037446616030101
- ID: 170481
Cite item
Abstract
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.
About the authors
S. V. Galaev
Saratov State University
Author for correspondence.
Email: sgalaev@mail.ru
Russian Federation, Saratov