Certain Curvature Conditions on $(k,\mu )$-Paracontact Metric Spaces

Key Findings & Data:We present the curvature tensors of (k,$\mu $)-Paracontact manifold satisfying the conditions $R\cdot W_{6}=0$, $ R\cdot W_{7}=0$, $R\cdot W_{8}=0$ and $R\cdot W_{9}=0$.

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Conclusion & Impact:Also, several results are obtained.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:(k.mu)-paracontact manifold · eta-Einstein manifold · Riemannian curvature tensor

Abstract

The aim of this paper is to classify $(k,\mu)$-paracontact metric spaces satisfying certain curvature conditions. We present the curvature tensors of (k,$\mu $)-Paracontact manifold satisfying the conditions $R\cdot W_{6}=0$, $ R\cdot W_{7}=0$, $R\cdot W_{8}=0$ and $R\cdot W_{9}=0$. According these cases, $(k,\mu)$-Paracontact manifolds have been characterized. Also, several results are obtained.

Keywords

(k.mu)-paracontact manifold eta-Einstein manifold Riemannian curvature tensor

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Cite This Article

UYGUN, P., DİRİK, S., ATÇEKEN, M., MERT, T. (2022). Certain Curvature Conditions on $(k,\mu )$-Paracontact Metric Spaces. Communications in Advanced Mathematical Sciences, Cilt: 5 - Sayı: 4, 161–169. https://ajindex.com/articles/867594

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