Journals / Ikonion Journal of Mathematics / 2026 / Volume: 6 Issue: 1

Trans-Sasakian Manifolds with Pseudo Finsler Metric

Ayşe Funda Sağlamer(KUTAHYA DUMLUPINAR UNIVERSITY)
Hilal Fidan(KUTAHYA DUMLUPINAR UNIVERSITY)
Pages
—
Publication Date
2024-07-22
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AI Summary & Key Takeaways

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

Furthermore, we give some formulas for α-Sasakian and β-Kenmotsu Finsler manifolds with pseudo-Finsler metric.

📌 3 Key Takeaways

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Objective & Hypothesis:We introduce some properties and results for trans-Sasakian structures on indefinite Finsler manifolds in this paper.
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Key Findings & Data:These structures are established on the 〖(M^0)〗^h and 〖(M^0)〗^v vector subbundles where M is an (2n+1) dimensional C^∞ manifold, M^0 is a non-empty open submanifold of TM.
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Conclusion & Impact:Furthermore, we give some formulas for α-Sasakian and β-Kenmotsu Finsler manifolds with pseudo-Finsler metric.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Trans-Sasakian manifold · α-Sasakian manifold · β-Kenmotsu manifold

Abstract

We introduce some properties and results for trans-Sasakian structures on indefinite Finsler manifolds in this paper. These structures are established on the 〖(M^0)〗^h and 〖(M^0)〗^v vector subbundles where M is an (2n+1) dimensional C^∞ manifold, M^0 is a non-empty open submanifold of TM. F^* is the fundamental Finsler function and〖 F〗^(2n+1)= (M,M^0,F^*) is an indefinite Finsler manifold. Furthermore, we give some formulas for α-Sasakian and β-Kenmotsu Finsler manifolds with pseudo-Finsler metric.

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Cite This Article

Sağlamer, A. F., Fidan, H. (2024). Trans-Sasakian Manifolds with Pseudo Finsler Metric. Ikonion Journal of Mathematics, Volume: 6 Issue: 1. https://doi.org/10.54286/ikjm.1378951

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