Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves

Year 2025, Volume: 15 Issue: 3, 995 - 1003, 15.09.2025

Esra Çiçek Çetin

https://doi.org/10.31466/kfbd.1523382

Abstract

Fermi-Walker transformation plays an important role for geometry and physical applications. In this manuscript, we give basic geometric definitions and then we present timelike curve with equiform parameter in the equiform geometry. In addition, we have dealed with the properties of (k,m)-type slant helices in terms of curvature functions by using Fermi-Walker transformation for timelike curves on equiform differential geometry in Minkowski spacetime.

Keywords

Slant helices , Fermi-Walker derivative , Timelike curves

Equiform Timelike Eğrilerin Fermi-Walker Türevi ile Slant Helisler

Abstract

Fermi-Walker türevi geometri ve fiziksel uygulamalar için önemli rol oynar. Bu makalede temel geometrik tanımları ifade ettik ve daha sonra equiform parametresine bağlı olarak timelike eğrileri elde ettik. Ayrıca Minkowki uzayında equiform timelike eğriler için Fermi-Walker türevi kullanarak (k,m)-tipinden slant helisleri hesapladık.

Keywords

Slant helisler , Fermi-Walker türevi , Timelike eğriler

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