Torsion Center Trace Of Non-null Curves In 3-dimensional Minkowski Space

Minkowski geometry has provided the theoretical model in mathematics for Einstein's relativity theory.The research works on it have never been ceased.Studying curves in Minkowski space has not only the actual physical significance,but also the theoretical value in mathematical.Compared with Euclidean space,Minkowski space is a fire-new field.Because of the difference of its metric from Euclidean's many essentical concepts in Minkowski space change a lot.In this thesis we mainly discuss the problem about the torsion center trace of non-null curves in 3-demensional Minkowski space.Because the metric is different from Euclidean space,vectors in this space are divided into three kinds,respectively called space-like,time-like and light-like.So when we study the theory of curves in 3-dimensional Minkowski space,there are two kinds of frames,namely orthogonal frame and pseudo-orthogonal frame.In this thesis we discuss the properties of time-like curves,space-like curves and their torsion center trace under different frames completely and systematically.In Chapter Two,we introduce the basic knowledge about 3-dimensional Minkowski space and torsion center trace.In Chapter Three,we discuss the curvatures,torsions and their relations of curves and their torsion center trace under different frames respectively and get some results.