Mannheim curves with modified orthogonal frame in Galilean space $G_{3}$

Authors

  • Murat Turan Department of Mathematics, Osmaniye Korkut Ata University, Osmaniye, Türkiye
  • Hülya Gün Bozok Department of Mathematics, Osmaniye Korkut Ata University, Osmaniye, Türkiye

DOI:

https://doi.org/10.3842/umzh.v78i5-6.9015

Keywords:

Galilean space, Mannheim partner curves, modified orthogonal frame.

Abstract

UDC 514.75

We introduce admissible Mannheim partner curves according to a modified orthogonal frame in the 3-dimensional Galilean space $G_{3}.$ Moreover, we use a modified orthogonal frame according to torsion. Further, we analyze these partner curves with respect to the modified orthogonal frame by curvature and torsion and obtain some characterizations of these curves. These findings have led us to the discovery of some curious remarks concerning Mannheim curves.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 5-6, 2026.

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Published

29.05.2026

Issue

Vol. 78 No. 5-6 (2026)

Section

Research articles