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Journals / Fundamental Journal of Mathematics and Applications / 2018 / Volume: 1 Issue: 2

On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds

Ayşe Funda Sağlamer(Dumlupinar University)0000-0001-5162-6378
Nesrin Çalışkan(USAK UNIVERSITY)0000-0002-3189-177X
Pages
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Publication Date
2018-12-25
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AI Summary & Key Takeaways

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

Then we study mixed totally geodesic and totally umbilical semi-invariant submanifolds of trans Sasakian Finsler manifold.

📌 3 Key Takeaways

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Objective & Hypothesis:We define trans-Sasakian Finsler manifold $\bar{F}^{2n+1}=(\mathcal{\bar{N}}, \mathcal{\bar{N^{\prime }}}, \bar{F})$ and semi-invariant submanifold $F^{m}=(\mathcal{N}, \mathcal {N^{\prime }}, F)$ of a trans-Sasakian Finsler manifold $\bar{F}^{2n+1}$.
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Key Findings & Data:We define trans-Sasakian Finsler manifold $\bar{F}^{2n+1}=(\mathcal{\bar{N}}, \mathcal{\bar{N^{\prime }}}, \bar{F})$ and semi-invariant submanifold $F^{m}=(\mathcal{N}, \mathcal {N^{\prime }}, F)$ of a trans-Sasakian Finsler manifold $\bar{F}^{2n+1}$.
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Conclusion & Impact:Then we study mixed totally geodesic and totally umbilical semi-invariant submanifolds of trans Sasakian Finsler manifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Trans-Sasakian Finsler manifold · Semi-invariant submanifold · Totally geodesic

Abstract

We define trans-Sasakian Finsler manifold $\bar{F}^{2n+1}=(\mathcal{\bar{N}}, \mathcal{\bar{N^{\prime }}}, \bar{F})$ and semi-invariant submanifold $F^{m}=(\mathcal{N}, \mathcal {N^{\prime }}, F)$ of a trans-Sasakian Finsler manifold $\bar{F}^{2n+1}$. Then we study mixed totally geodesic and totally umbilical semi-invariant submanifolds of trans Sasakian Finsler manifold.

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Cite This Article

Sağlamer, A. F., Çalışkan, N. (2018). On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds. Fundamental Journal of Mathematics and Applications, Volume: 1 Issue: 2. https://doi.org/10.33401/fujma.469933

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