@article{article_428516, title={Euclidean Curves with Incompressible Canonical Vector Field}, journal={Adıyaman University Journal of Science}, volume={8}, pages={70–82}, year={2018}, author={Arslan, Kadri and Aydın, Yılmaz and Demirbaş, Eray and Yazla, Aziz}, keywords={Generalized helix,Salkowski curve,Regular curve,Canonical vector field}, abstract={<p class="MsoNormal" style="text-align:justify;text-indent:1cm;line-height:150%;"> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">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 <span> </span>-dimensional Euclidean space E <sup> <span style="font-size:9px;">4 </span> </sup> </span> <span style="font-size:9px;"> </span> <span style="font-size:12pt;line-height:150%;font-family:’Times New Roman’, serif;">. </span> </p>}, number={2}, publisher={Adıyaman University}