On generalized Tanaka-Webster connection in Sasakian manifolds. (English) Zbl 1399.53039
Summary: The object of this paper is to characterize Sasakian manifolds admitting generalized Tanaka-Webster connection. We study certain curvature conditions of Sasakian manifolds with respect to the generalized Tanaka-Webster connection. Finally, we give an example of a 5-dimensional Sasakian manifold admitting the generalized Tanaka-Webster connection to illustrate the results.
MSC:
53C05 | Connections (general theory) |
53C20 | Global Riemannian geometry, including pinching |
53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |