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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 71 Issue: 2

Notes on the second-order tangent bundles with the deformed Sasaki metric

Kübra Karaca0000-0002-6329-4435
Aydın Gezer(ATATURK UNIVERSITY)0000-0001-7505-0385
Abdullah Mağden(BURSA TECHNICAL UNIVERSITY)0000-0002-6025-629X
Pages
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Publication Date
2022-06-30
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AI Summary & Key Takeaways

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

Also the weakly symmetry properties of the deformed Sasaki metric are presented.

📌 3 Key Takeaways

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Objective & Hypothesis:The paper deals with the second-order tangent bundle T 2 M T2M with the deformed Sasaki metric ¯ g g¯ over an n −dimensional Riemannian manifold g over an n −dimensional Riemannian manifold ( M , g ) (M,g) .
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Key Findings & Data:We calculate all Riemannian curvature tensor fields of the deformed Sasaki metric ¯ g g¯ and search Einstein property of and search Einstein property of T 2 M T2M .
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Conclusion & Impact:Also the weakly symmetry properties of the deformed Sasaki metric are presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Second-order tangent bundle · deformed Sasaki metric · weakly symmetric

Abstract

The paper deals with the second-order tangent bundle T 2 M T2M with the deformed Sasaki metric ¯ g g¯ over an n −dimensional Riemannian manifold g over an n −dimensional Riemannian manifold ( M , g ) (M,g) . We calculate all Riemannian curvature tensor fields of the deformed Sasaki metric ¯ g g¯ and search Einstein property of and search Einstein property of T 2 M T2M . Also the weakly symmetry properties of the deformed Sasaki metric are presented.

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Cite This Article

Karaca, K., Gezer, A., Mağden, A. (2022). Notes on the second-order tangent bundles with the deformed Sasaki metric. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 2. https://doi.org/10.31801/cfsuasmas.987379

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