@article{Zhao_Zhong_Wan_2023, title={Geometry of solutions of the geometric curve flows in space}, volume={1}, url={https://ejamjournal.com/index.php/ejam/article/view/ejam.20231340}, DOI={10.61383/ejam.20231340}, abstractNote={<p>In this study, we aim at investigating the geometry of surfaces corresponding to the geometry of solutions of the geometric curve flows in Euclidean 3-space \(\mathbb R^3\) considering the Frenet frame. In particular, we express some geometric properties and some characterizations of \(u\)-parameter curves and \(t\)-parameter curves of some trajectory surfaces including the Hasimoto surface, the shortening trajectory surface, the minimal trajectory surface, the \(\sqrt{\tau}\)-normal trajectory surface in \(\mathbb R^3\).</p>
<p> </p>}, number={3}, journal={Electronic Journal of Applied Mathematics}, author={Zhao, Zehui and Zhong, Shiping and Wan, Xinjie}, year={2023}, month={Oct.}, pages={16–25} }