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Journals / Konuralp Journal of Mathematics / 2021 / Volume: 9 Issue: 2

On the Lifts of $F^{K}+F=0,$ $(F\neq 0,K\geqslant 0)-$Structure on Cotangent and Tangent Bundle

Haşim Çayır(Giresun University)0000-0003-0348-8665
Pages
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Publication Date
2021-10-15
DOI
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AI Summary & Key Takeaways

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

In the second part, all results obtained in the first section were obtained according to the complete and horizontal lifts of $F(K,1)-$structure in tangent bundle $T(M^{n})$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper consists of two main sections.
📊
Key Findings & Data:In the first part, we find the integrability conditions by calculating Nijenhuis tensors of the horizontal lifts of $F(K,1)-$structure satisfying $F^{K}+F=0$.
💡
Conclusion & Impact:In the second part, all results obtained in the first section were obtained according to the complete and horizontal lifts of $F(K,1)-$structure in tangent bundle $T(M^{n})$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Integrability conditions · Tachibana operators · lifts

Abstract

This paper consists of two main sections. In the first part, we find the integrability conditions by calculating Nijenhuis tensors of the horizontal lifts of $F(K,1)-$structure satisfying $F^{K}+F=0$. Later, we get the results of Tachibana operators applied to vector and covector fields according to the horizontal lifts of $F(K,1)-$structure in cotangent bundle $ T^{\ast }(M^{n})$. Finally, we have studied the purity conditions of Sasakian metric with respect to the horizontal lifts of $F(K,1)-$structure. In the second part, all results obtained in the first section were obtained according to the complete and horizontal lifts of $F(K,1)-$structure in tangent bundle $T(M^{n})$.

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Cite This Article

Çayır, H. (2021). On the Lifts of $F^{K}+F=0,$ $(F\neq 0,K\geqslant 0)-$Structure on Cotangent and Tangent Bundle. Konuralp Journal of Mathematics, Volume: 9 Issue: 2. https://ajindex.com/articles/1521595

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