Euclidean Curves with Incompressible Canonical Vector Field

Year 2018, Volume: 8 Issue: 2, 70 - 82, 28.12.2018

Kadri Arslan Yılmaz Aydın Eray Demirbaş Aziz Yazla

Abstract

In
the present study we consider Euclidean curves with incompressible canonical
vector fields. We investigate such curves in terms of their curvature
functions. Recently, B.Y. Chen gave classification of plane curves with
incompressible canonical vector fields. For higher dimensional case we gave a
complete classification of Euclidean space curves with incompressible canonical
vector fields. Further we obtain some results of the Euclidean curves with incompressible
canonical vector fields in -dimensional Euclidean space E⁴.

Keywords

Generalized helix, Salkowski curve, Regular curve, Canonical vector field

References

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