Some Special Curves In3-dimensional Minkowski Space

Studing curves in Minkowski space has not only the actual physical significance, but also the theoretical value in mathematical. The Special curves in Minkowski3-space that are studied including:the constant curvature curve or constant torsion curve、general helix、Mannheim curve and Bertrand curve. This paper discusses the characterizations and relationship of these curves in Minkowski3-space.This paper gives the equation of the constant curvature curve and constant torsion curve in3-Dimensional Minkowski Space; when a general helix curve is a first spacelike curve, we study the trajectory of curvature center; then, we get the sufficient and necessary conditions respectively when a spacelike curve is a Bertrand curve or Mannheim curve in Minkowski space; Finally, this paper study the relationship between these special curves, Minkowski space are given some conditions respectively when a general helix is a Mannheim curve or Mannheim PartnerThis paper is arranged as follows:In chapter1, we review the historical development and some important consequences.In chapter2, first, we introduce some basic knowledge of curves in3-Dimensional Minkowski Space.The third chapter is divided into four sections..In the first section, we gives the equation of the constant curvature curve and constant torsion curve in3-Dimensional Minkowski Space; In the second section, we study the trajectory of curvature center when a general helix curve is a first spacelike curve, In the third section, we discusses the characterizations of Bertrand curves; In the last section, we gives some conditions respectively when a general helix is a Mannheim curve or Mannheim Partner.The last part of the paper is to study the relationship between these curves...