$Q$-curvature tensor of Kenmotsu Manifolds admitting generalized Tanaka-Webster connection

Abstract

This research paper aims to study the $Q$-curvature tensor of Kenmotsu manifolds endowed with a generalized Tanaka-Webster connection. Using the $Q$-curvature tensor, whose trace is the well-known Z-tensor, we characterize Kenmotsu manifolds by providing some tensor conditions with respect to the generalized Tanaka-Webster connection. To validate some of our results, we construct a non-trivial example of a Kenmotsu manifold endowed with such a connection.

Keywords

• Kenmotsu manifolds
• generalized Tanaka-Webster connection
• Q-tensor

References

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