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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 55 Issue: 2

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

Mustafa Yıldırım(AKSARAY UNIVERSITY)0000-0002-7885-1492
Ramazan Çınar Kaya(AKSARAY UNIVERSITY)0000-0002-4517-9791
Nesip Aktan(NECMETTIN ERBAKAN UNIVERSITY)0000-0002-6825-4563
Pages
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Publication Date
2026-04-29
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

To validate some of our results, we construct a non-trivial example of a Kenmotsu manifold endowed with such a connection.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This research paper aims to study the $Q$-curvature tensor of Kenmotsu manifolds endowed with a generalized Tanaka-Webster connection.
📊
Key Findings & Data: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.
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Conclusion & Impact:To validate some of our results, we construct a non-trivial example of a Kenmotsu manifold endowed with such a connection.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kenmotsu manifolds · generalized Tanaka-Webster connection · Q-tensor

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.

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Cite This Article

Yıldırım, M., Kaya, R. Ç., Aktan, N. (2026). $Q$-curvature tensor of Kenmotsu Manifolds admitting generalized Tanaka-Webster connection. Hacettepe Journal of Mathematics and Statistics, Volume: 55 Issue: 2. https://doi.org/10.15672/hujms.1646413

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