SPECIAL CURVES IN FINSLER SPACE.

As one point moves along a curve, if the Frenet vectors are carried to the center of the unit Finsler sphere FS² at this point then these vectors trace curves on the FS². These curves called as spherical images of the curve c. In this study, we investigate the Finslerian spherical images of any curve in Finsler space F3. Also, we obtain the Frenet-Serret formulas of these new curves in terms of Finsler invariants. Furthermore, these curves are exemplified using the Randers metric which is a special structure of the Finsler metric. Finally, these curves are illustrated on the FS². [ABSTRACT FROM AUTHOR]