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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2019 / Cilt: 37 - Sayı: 2

SOME NOTES ON INTEGRABILITY CONDITIONS, SASAKI METRICS AND OPERATORS ON (1,1)-TENSOR BUNDLE

Haşim ÇAYIR
Yasemin SOYLU
Hülya DURUR
Pages
445–459
Publication Date
2019-06-01
DOI
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AI Summary & Key Takeaways

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

Finally, we get the results of Tachibana and Vishnevskii operators applied to horizontal and vertical lifts according to structure on Tensor Bundle .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main purpose of the present paper is to study integrability conditions by calculating the Nijenhuis Tensors of almost paracomplex structure on Tensor Bundle.
📊
Key Findings & Data:Later, we obtain the Lie derivatives applied to Sasakian metrics with respect to the horizontal and vertical lifts of vector and kovector fields, respectively.
💡
Conclusion & Impact:Finally, we get the results of Tachibana and Vishnevskii operators applied to horizontal and vertical lifts according to structure on Tensor Bundle .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Integrability conditions · Sasaki Metrics · Tachibana operators

Abstract

The main purpose of the present paper is to study integrability conditions by calculating the Nijenhuis Tensors of almost paracomplex structure on Tensor Bundle. Later, we obtain the Lie derivatives applied to Sasakian metrics with respect to the horizontal and vertical lifts of vector and kovector fields, respectively. Finally, we get the results of Tachibana and Vishnevskii operators applied to horizontal and vertical lifts according to structure on Tensor Bundle .

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Cite This Article

ÇAYIR, H., SOYLU, Y., DURUR, H. (2019). SOME NOTES ON INTEGRABILITY CONDITIONS, SASAKI METRICS AND OPERATORS ON (1,1)-TENSOR BUNDLE. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 37 - Sayı: 2, 445–459. https://ajindex.com/articles/419354

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References (12)

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