Quadratic Curves In2-Minkowski Space

As the development of space-time model of Einstein’s Relativity, Minkowski space catches more and more mathematicians attention. Compared with Euclidean space, Minkowski space is a fire-new field. Because of the different metric, many essential concepts in Minkowski space, such as the vector, the distance and the motion of particle change a lot. This makes the conclusions of some problems in Minkowski space much different.As we know, there are many meaningful results for curves in the Eucildean space. With the indefinite inner product, the curves in the Minkowski space are very different as in the Euclidean space. In this paper, we will show a method to study quadratics in two Minkowski space. The main results are as follows.At first, we study the distance formulas in two dimensional Minkowski space. Then, through given some special condition we get a lot of quadratic curves. Finally, the curves will be simplified by the tools of mathematics.