A study on magnetic curves in trans-Sasakian manifolds

Abstract

In this paper, we focused on biharmonic, f-harmonic and f-biharmonic magnetic curves in trans-Sasakian manifolds. Moreover, we obtain necessary and su cient conditions for magnetic curves as well as Legendre magnetic curves to be biharmonic, f-harmonic and f-biharmonic. We investigate the states of these conditions in α-Sasakian, β-Kenmotsu and cosymplectic manifolds. Besides, we obtain some nonexistence theorems.

Keywords

• magnetic curves
• legendre curves
• trans-sasakian manifolds
• biharmonic curves
• f-harmonic curves
• f-biharmonic curves
• primary 53d15, 53c25
• secondary 58e20, 53c43