journal6 ›› 2012, Vol. 33 ›› Issue (3): 11-14.DOI: 10.3969/j.issn.1007-2985.2012.03.004

• 数学 • 上一篇    下一篇

3维闵可夫斯基空间中具有类光主法向量的曲线

  

  1. (1.华东师范大学数学系,上海200241;2.上海科技管理学校,上海200433)
  • 出版日期:2012-05-25 发布日期:2012-08-24

Curves with Null Principal Normal Vector in 3-Dimensional Minkowski Space

  1. (1.Department of Mathematics,East China Normal University,Shanghai 200241,China;2.Shanghai Science and Technology Management School,Shanghai 200433,China)
  • Online:2012-05-25 Published:2012-08-24
  • About author:HUANG Rong-pei(1963-),male,was born in Shanghai City,associated professor,Ph. D.,research area is differential geometry.
  • Supported by:

    Supported by  NSF of China(10971066)

摘要:研究了3维闵可夫斯基空间中具有类光主法向量的类空曲线,求出了欧拉-拉格朗日方程和2个Killing向量场,通过建立围绕Killing向量场P的柱面坐标系解出了Frenet方程.

关键词: 类空曲线, 类光主法向, Killing场

Abstract: The authors study the actions on spacelike curves with null principal normal vector in 3-dimensional Minkowski space.The Euler-Lagrange equation and two Killing vector fields are found.The authors integrate the Frenet equations by constructing cylindrical coordinates around the Killing field

Key words: spacelike curve, null principal normal, Killing field

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