Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves

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.

Authors

Publication Details

Journal
Karadeniz Fen Bilimleri Dergisi
Published
2025-09-15
DOI
https://doi.org/10.31466/kfbd.1523382
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
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article

Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves

Esra Çiçek Çetin
Karadeniz Fen Bilimleri Dergisi
Advanced Differential Geometry Research
article

Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves

Esra Çiçek Çetin
article en

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.

Karadeniz Fen Bilimleri DergisiVol. 15(3)
Openalex Percentile: Top 83%
Advanced Differential Geometry Research
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Slant Helices with Fermi-Walker Derivative of Equiform Timelike Curves — Esra Çiçek Çetin · Karadeniz Fen Bilimleri Dergisi (2025) | TGRS Research Map | TGRS