Finsler Manifoldunda Genel Helisler Üzerine Bir Çalışma

Bu çalışmada, 3-boyutlu Finsler manifoldunda iki özel eğri arasındaki ilişki üzerine çalıştık. 3-boyutlu Finslermanifoldundaki bir regüler eğri ve bir genel helis arasındaki bir denklem kullanılarak, regüler eğri ve genel helismevcut ise, o zaman regüler eğrinin de bir genel helis olduğunu gösterdik. Daha sonra bu özel eğrilerin her ikisiiçin de Bertrand çifti, slant helis olma koşulu verildi. Böylece 3-boyutlu Finsler manifoldunda bu eğrilerin bazıkarakterizasyonlarını elde ettik.

A Study on the General Helix in Finsler Manifold

In this study; we worked on the relation between two special curves in 3-dimensional Finsler manifold. By using an equation between the a regular curve and a general helix in 3-dimensional Finsler manifold, we showed that if there exist the regular curve and the general helix, then the regular curve also is a general helix. Then, the condition of being like a slant helix, Bertrand mate for both of them has been given. So, we obtained some characterizations of these special curves in 3-dimensional Finsler manifold.

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