On spherical indicatrices of curves in Galilean 4-space G₄

Süha Yılmaz, Yasin Unluturk

Abstract


In this study, we indroduce spherical indicatrices of curves in four dimensional Galilean space. Moreover, we characterize these curves in terms of Frenet-Serret vector fields in four dimensional Galilean space. Frenet-Serret apparatus of these curves are obtained in terms of base curve's Frenet invariants. Additionally, some theorems are given regarding characterizations of spherical indicatrices of curves in four dimensional Galilean space.

Keywords


Galilean 4D space, Spherical indicatrices, Curve of ccr, Involute-evolute curves, Bertrand curve, Helix, Spherical curve.

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DOI: https://doi.org/10.22342/jims.25.2.473.154-170

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Journal of the Indonesian Mathematical Society
Mathematics Department, Universitas Gadjah Mada
Senolowo, Sinduadi, Mlati, Sleman Regency, Special Region of Yogyakarta 55281, Telp. (0274) 552243
Email: jims.indoms@gmail.com


p-ISSN: 2086-8952 | e-ISSN: 2460-0245


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