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Journals / Konuralp Journal of Mathematics / 2023 / Cilt: 11 Sayı: 1

On $f$-Biminimal Legendre Curves in $(\alpha ,\beta )$-Trans Sasakian Generalized Sasakian Space Forms

Şerife Nur BOZDAĞ
Selcen YÜKSEL PERKTAŞ
Feyza Esra ERDOĞAN
Pages
70–76
Publication Date
2023-04-30
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Besides, some special cases are studied and some nonexistence theorems are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, $f$-biminimal Legendre curves are studied in $(\protect\alpha ,\protect\beta )$-trans Sasakian generalized Sasakian space forms.
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Key Findings & Data:Necessary and sufficient conditions are obtained for a Legendre curve to be $f$-biminimal in such space forms .
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Conclusion & Impact:Besides, some special cases are studied and some nonexistence theorems are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$f$-biminimal curves · generalized Sasakian space forms · Legendre curves

Abstract

In this paper, $f$-biminimal Legendre curves are studied in $(\protect\alpha ,\protect\beta )$-trans Sasakian generalized Sasakian space forms. Necessary and sufficient conditions are obtained for a Legendre curve to be $f$-biminimal in such space forms . Besides, some special cases are studied and some nonexistence theorems are obtained.

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Cite This Article

BOZDAĞ, Ş. N., PERKTAŞ, S. Y., ERDOĞAN, F. E. (2023). On $f$-Biminimal Legendre Curves in $(\alpha ,\beta )$-Trans Sasakian Generalized Sasakian Space Forms. Konuralp Journal of Mathematics, Cilt: 11 Sayı: 1, 70–76. https://ajindex.com/articles/937906

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