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Journals / Cumhuriyet Science Journal / 2022 / Cilt: 43 - Sayı: 3

(k,μ)-Paracontact Manifolds and Their Curvature Classification

Pakize UYGUN
Pages
460–467
Publication Date
2022-11-06
DOI
—
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AI Summary & Key Takeaways

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

We think that some interesting results on a (k,μ)-paracontact metric manifold are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to study (k,μ)-Paracontact metric manifold.
📊
Key Findings & Data:We introduce the curvature tensors of a (k,μ)-paracontact metric manifold satisfying the conditions R⋅P_*=0, R⋅L=0, R⋅W_1=0, R⋅W_0=0 and R⋅M=0.
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Conclusion & Impact:We think that some interesting results on a (k,μ)-paracontact metric manifold are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The aim of this paper is to study (k,μ)-Paracontact metric manifold. We introduce the curvature tensors of a (k,μ)-paracontact metric manifold satisfying the conditions R⋅P_*=0, R⋅L=0, R⋅W_1=0, R⋅W_0=0 and R⋅M=0. According to these cases, (k,μ)-paracontact manifolds have been characterized such as η-Einstein and Einstein. We get the necessary and sufficient conditions of a (k,μ)-paracontact metric manifold to be η-Einstein. Also, we consider new conclusions of a (k,μ)-paracontact metric manifold contribute to geometry. We think that some interesting results on a (k,μ)-paracontact metric manifold are obtained.

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Cite This Article

UYGUN, P. (2022). (k,μ)-Paracontact Manifolds and Their Curvature Classification. Cumhuriyet Science Journal, Cilt: 43 - Sayı: 3, 460–467. https://ajindex.com/articles/649437

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