TY - JOUR
AU - Zhao, Zehui
AU - Zhong, Shiping
AU - Wan, Xinjie
PY - 2023/10/29
Y2 - 2024/04/25
TI - Geometry of solutions of the geometric curve flows in space
JF - Electronic Journal of Applied Mathematics
JA - Electron. J. Appl. Math.
VL - 1
IS - 3
SE - Research Article
DO - 10.61383/ejam.20231340
UR - https://ejamjournal.com/index.php/ejam/article/view/ejam.20231340
SP - 16-25
AB - <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>
ER -