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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Furthermore, we give some relations between the classes of $G_{2(2)}^*$ structures and almost paracontact metric structures.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we construct almost paracontact metric structures by using the fundamental 3-forms of manifolds with $G_{2(2)}^*$ structures.
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Key Findings & Data:The existence of certain almost paracontact metric structures is investigated due to the properties of the 2-fold vector cross-product.
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Conclusion & Impact:Furthermore, we give some relations between the classes of $G_{2(2)}^*$ structures and almost paracontact metric structures.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$G_{2(2)}^*$ structure · almost paracontact metric structure
Abstract
In this paper, we construct almost paracontact metric structures by using the fundamental 3-forms of manifolds with $G_{2(2)}^*$ structures. The existence of certain almost paracontact metric structures is investigated due to the properties of the 2-fold vector cross-product. Furthermore, we give some relations between the classes of $G_{2(2)}^*$ structures and almost paracontact metric structures.
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Cite This Article
ÖZDEMİR, N., AKTAY, Ş., SOLGUN, M. (2018). Almost paracontact structures obtained from $G_{2(2)}^*$ structures. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 3025–3033. https://ajindex.com/articles/220602