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

Authors : Şerife Nur BOZDAĞ, Selcen YÜKSEL PERKTAŞ, Feyza Esra ERDOĞAN

Pages : 70-76

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Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :In this paper, $f$-biminimal Legendre curves are studied in $insert ignore into journalissuearticles values(\\protect\\alpha ,\\protect\\beta );$-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.
Keywords : f biminimal curves, generalized Sasakian space forms, Legendre curves