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

Year 2026, Issue: Advanced Online Publication, 1 - 12

Mustafa Yıldırım , Ramazan Çınar Kaya , Nesip Aktan

https://doi.org/10.15672/hujms.1646413

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 characterized Kenmotsu manifolds by providing new tensor conditions on Kenmotsu manifold with respect to the generalized Tanaka-Webster connection. To validate some of our results, we construct a non-trivial example of Kenmotsu manifolds endowed with a generalized Tanaka-Webster connection.

Keywords

Kenmotsu Manifold , generalized Tanaka-Webster connection , Q-curvature tensor

References

• [1] G. Ayar, N. Aktan, and C. Madan, Concircular curvature tensor of nearly cosymplectic manifolds in terms of the generalized Tanaka-Webster connection, Filomat 38 (9), 3011–3020, 2024