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Dergiler / Konuralp Journal of Mathematics / 2025 / Volume: 13 Issue: 2

Symmetry and Curvature in LP-Kenmotsu Manifolds with Generalized Tanaka-Webster Connection

Prakasha D. G.(Davangere University)
M.v. Deepika(Davangere University)
İnan Ünal(MUNZUR UNIVERSITY)0000-0003-1318-9685
Sayfa
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Yayın Tarihi
2025-10-31
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore, utilizing the $Q$-curvature tensor, we analyze conditions under which LPK manifolds exhibit ${Q^*}$-flatness, ${Q^*}$-Ricci semi-symmetry, and $\psi$-${Q^*}$-flatness concerning the connection $\mathcal{D}^*$

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we investigate Lorentzian para-Kenmotsu (LP-Kenmotsu (LPK)) manifolds in the context of the generalized Tanaka-Webster connection, denoted as $\mathcal{D}^*$.
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Temel Bulgular & Veri:Initially, we derive the formulas for the curvature tensor, Ricci tensor, and scalar curvature of an LPK manifold with respect to the connection $\mathcal{D}^*$.
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Sonuç & Katkı:Furthermore, utilizing the $Q$-curvature tensor, we analyze conditions under which LPK manifolds exhibit ${Q^*}$-flatness, ${Q^*}$-Ricci semi-symmetry, and $\psi$-${Q^*}$-flatness concerning the connection $\mathcal{D}^*$
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lorentzian para-Kenmotsu manifolds · Generalized Tanaka-Webster Connection · Einstein manifold

Abstract

In this study, we investigate Lorentzian para-Kenmotsu (LP-Kenmotsu (LPK)) manifolds in the context of the generalized Tanaka-Webster connection, denoted as $\mathcal{D}^*$. Initially, we derive the formulas for the curvature tensor, Ricci tensor, and scalar curvature of an LPK manifold with respect to the connection $\mathcal{D}^*$. We analyze the geometric properties of these manifolds, including their local symmetry, Ricci semi-symmetry, and local $\psi$-symmetry. Furthermore, utilizing the $Q$-curvature tensor, we analyze conditions under which LPK manifolds exhibit ${Q^*}$-flatness, ${Q^*}$-Ricci semi-symmetry, and $\psi$-${Q^*}$-flatness concerning the connection $\mathcal{D}^*$

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Bu Makaleye Atıf Yap

G., P. D., Deepika, M., Ünal, İ. (2025). Symmetry and Curvature in LP-Kenmotsu Manifolds with Generalized Tanaka-Webster Connection. Konuralp Journal of Mathematics, Volume: 13 Issue: 2. https://ajindex.com/articles/1521458

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