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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 6

Horizontal lifts of projectable linear connection to semi-tangent bundle

Furkan Yıldırım
Pages
1709–1721
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Finally, we examine the infinitesimal linear transformation in the semi-tangent bundle with respect to the horizontal lift of a projectable linear connection.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main aim of this article is to study the horizontal lifts of projectable linear connection in the semi-tangent bundle tM.
📊
Key Findings & Data:The properties of complete and horizontal lifts of projectable linear connection for semi-tangent bundle tM are also investigated.
💡
Conclusion & Impact:Finally, we examine the infinitesimal linear transformation in the semi-tangent bundle with respect to the horizontal lift of a projectable linear connection.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Horizontal lift · Projectable linear connection · Pullback bundle

Abstract

The main aim of this article is to study the horizontal lifts of projectable linear connection in the semi-tangent bundle tM. The properties of complete and horizontal lifts of projectable linear connection for semi-tangent bundle tM are also investigated. Finally, we examine the infinitesimal linear transformation in the semi-tangent bundle with respect to the horizontal lift of a projectable linear connection.

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Cite This Article

Yıldırım, F. (2022). Horizontal lifts of projectable linear connection to semi-tangent bundle. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 6, 1709–1721. https://ajindex.com/articles/529520

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