论文标题
与螺旋曲线，相对正常的螺旋螺旋和同流曲线相关的螺旋螺旋
Helices associated to helical curves, relatively normal-slant helices and isophote curves
论文作者
论文摘要
这项研究介绍了一种称为相关螺旋的新型通用螺旋，该螺旋与特殊的表面曲线相关。基本思想是通过darboux框架和特殊表面曲线的表面曲率（例如螺旋曲线，相对正常的斜螺旋或同在曲线）确定相关螺旋的参数形式。对于每个表面曲线，可以获得一个微分方程系统，并通过求解该系统，引入了相关螺旋的参数形式。
This study introduces a new type of general helix called associated helix which is associated to a special surface curve. The basic idea is to determinate the parametric form of an associated helix by means of Darboux frame and surface curvatures of a special surface curve such as helical curve, relatively normal-slant helix or isophote curve. For each surface curve, a differential equation system is obtained and by solving this system, parametric form of an associated helix is introduced.
