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

Yıl 2023, Cilt: 11 Sayı: 1, 70 - 76, 30.04.2023

Şerife Nur Bozdağ , Selcen Yüksel Perktaş , Feyza Esra Erdoğan

Öz

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.

Anahtar Kelimeler

$f$-biminimal curves, generalized Sasakian space forms, Legendre curves

Kaynakça

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