论文标题:四维Minkowski空间内类空曲线的光锥高斯映射
The Lightcone Gauss Map of a Spacelike Curve in Minkowski 4-Space
论文作者
论文导师 裴东河,论文学位 硕士,论文专业 基础数学
论文单位 东北师范大学,点击次数 105,论文页数 26页File Size893K
2006-05-01论文网 http://www.lw23.com/lunwen_63016397/
spacelike curve;lightcone Gauss map;lightcone height function
在本文中我们定义了四维Minkowski空间内类空曲线的光锥高斯映射,光锥垂足曲线,光锥高度函数的概念,建立了这些对象的奇点与在洛仑兹群作用下曲线的几何不变量之间的关系,并且运用奇点理论的标准工具对该空间中类空曲线的奇点进行分类。
In this paper,We define the notions of lightcone Gauss maps ,Hghtcone pedal curves and lightcone height function of a spacelike curve in Minkowski 4-space, and established the relationships between singularities of these objects and geometric invariants of curves under the action Lorentz group ,and as an applications of standard techniques of singularity theory classified singularities of a spacelike curve in this space .
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