四维Minkowski空间中伪零曲线的零超曲面的奇点
发布时间：2019-05-28 20:45
【摘要】：本文主要研究了四维Minkowski空间中伪零曲线的零超曲面的奇点分类问题.本文通过构造Frenet型标架和伪零曲线上的Lorentz距离平方函数族,利用奇点理论和函数开折理论讨论了零超曲面的奇点和距离平方函数族的关系,给出零超曲面的奇点分类.此外,本文还给出了零超曲面的奇点的几何性质.
[Abstract]:In this paper, we mainly study the singularity classification of zero hypersurfaces of pseudo-zero curves in four-dimensional Minkowski space. In this paper, by constructing the family of Lorentz distance square functions on Frenet frame and pseudo-zero curve, the relationship between singularity and distance square function family of zero hypersurfaces is discussed by using singularity theory and function opening theory, and the classification of singularity points of zero hypersurfaces is given. In addition, the geometric properties of singularity of zero hypersurface are also given in this paper.
【学位授予单位】：东北师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O186.11
本文编号：2487351
[Abstract]:In this paper, we mainly study the singularity classification of zero hypersurfaces of pseudo-zero curves in four-dimensional Minkowski space. In this paper, by constructing the family of Lorentz distance square functions on Frenet frame and pseudo-zero curve, the relationship between singularity and distance square function family of zero hypersurfaces is discussed by using singularity theory and function opening theory, and the classification of singularity points of zero hypersurfaces is given. In addition, the geometric properties of singularity of zero hypersurface are also given in this paper.
【学位授予单位】：东北师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O186.11
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