Factorable Surfaces In 3-Minkowski Space

With the development of the 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 difference of its metric from Euclidean space, many essential concepts in Minkowski space change a lot. This makes the conclusions of some problems in Minkowski space much different, especially the properties of the submanifolds which are the focus points in the research. These conclusions reflect the essential properties of Minkowski space which is different from Euclidean space. The research on Weingarten surfaces is always an important field of classical differential geometry and mathematicians got lots of important conclusions.Because of the indefiniteness of the metric, there are three kinds of vectors in 3-Minkowski space:spacelike vectors, timelike vectors and lightlike vectors. So there are six kinds of factorable surfaces along different directions. In this thesis, the existence and the expressions of two kinds of Weingarten factorable surfaces in 3-Minkowski space are discussed. Their mean curvature and Gauss curvature satisfy certain relations:H-constant; K=constant; aH+bK=0 and H2=K.