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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2026 / Volume: 36 Issue: 2

DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE

Haşim Çayır(GIRESUN UNIVERSITY)0000-0003-0348-8665
Pages
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Publication Date
2018-06-01
DOI
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AI Summary & Key Takeaways

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

Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , which is completely determined by its actionon complete lifts of vector fields.
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Key Findings & Data:In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , which is completely determined by its actionon complete lifts of vector fields.
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Conclusion & Impact:Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Covarient derivative · lie derivative · Cheeger-Gromoll metric

Abstract

In this paper, we define the Cheeger-Gromoll metric in the cotangent bundle , which is completely determined by its actionon complete lifts of vector fields. Later, we obtain the covariant and Lie derivatives applied to Cheeger-Gromoll metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively.

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Cite This Article

Çayır, H. (2018). DERIVATIVES WITH RESPECT TO COMPLETE AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC ON COTANGENT BUNDLE. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 36 Issue: 2. https://ajindex.com/articles/1345089

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