三维Minkowski空间中的一类螺旋面
A Kind of Helicoidal Surface in 3-Dimensional Minkowski Space
DOI: 10.12677/PM.2015.54021, PDF,  被引量    科研立项经费支持
作者: 吴 珩, 黄平亮：上海大学理学院数学系，上海
关键词: Minkowski空间；螺旋面；平均曲率；高斯曲率；Minkowski Space； Helicoidal Surface； Meaning Curvature； Gauss Curvature
摘要: 三维Minkowski空间中，螺旋面由一条平面曲线进行螺旋运动生成。本文研究以类光向量为轴进行螺旋运动所生成的螺旋面，主要讨论平均曲率H和高斯曲率K满足关系式a1H2 + a2K = g(s)的螺旋面的存在性以及表达式。
Abstract: A helicoidal surface in Minkowski 3-sapce is defined as the orbit of a plane curve under a screw motion. In this paper, we study a kind of helicoidal surface with light-like axis in Minkowski 3-space. As a result, we constructed the representation formulas for these helicoidal surfaces with meaning curvature H and Guass curvature K satisfying a1H2 + a2K = g(s).
文章引用：吴珩, 黄平亮. 三维Minkowski空间中的一类螺旋面[J]. 理论数学, 2015, 5(4): 136-142. https://dx.doi.org/10.12677/PM.2015.54021

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