Mehmet Ali Güngör

On the two-parameter Lorentzian homothetic motions

In this study, sliding velocity, pole lines, hodograph, and acceleration poles of two-parameter Lorentzian homothetic motions at ∀(λ,μ) positions are obtained. By defining two-parameter Lorentzian homothetic motion along a curve in Lorentzian space L3, the theorems related to this motion and characterizations of the trajectory surface are given.MSC:53A17, 53B30, 14H50.

A construction of hyperbolic spinors according to frenet frame in Minkowski space

Abstract In this paper, spinors which consists of two hyperbolic components are introduced and hyperbolic spinor representation of the curve (spacelike or timelike) in Minkowski space is expressed. Then, the fundamental theorem of differential geometry has been restated by means of these hyperbolic spinors. Finally, some examples about this study are given.

Hiperbolik Düzlemde İki Parametreli Homotetik Hareketler Üzerine Bir Çalışma

Bu makalede, hiperbolik duzlemde iki parametreli homotetik hareketler arastirildi. Ayni zamanda ∀(𝜆, 𝜇) konumunda iki parametreli hiperbolik homotetik hareketin suruklenme hizi, pol dogrulari, Hodografi ve ivme polleri calisildi. Son olarak homotetik sabiti ℎ nin 1 olma durumunun bu calismanin ozel bir hali kaldigi gorulecektir.