Slant helices and Darboux helices in Myller Configuration

2023/06/14 by Akın Alkan, Alkan, Akın, Mehmet Önder +1
Mathematics · Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #Advanced Differential Equations and Dynamical Systems #Nonlinear Waves and Solitons #Protein Tyrosine Phosphatases

paper · pdf · doi:10.48550/arxiv.2307.06394

Abstract

In this paper, we study slant helix (or \overset_ξ₂-helix) and Darboux helix in Myller configuration M. We show that a curve in M is a slant helix if and only if it is a Darboux helix. We give the alternative frame of a curve in M. Furthermore, we obtain the differential equations characterizing the curves in M by means of both Frenet type frame and alternative frame.

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