PROPERTIES OF SADDLE SURFACES OF GALILEAN SPACE

Аннотация

The saddle surfaces of the Galilean space, which are a space with a degenerate metric, are studied in this paper. The surfaces of rotation are investigated, and the surface curvature defect is proved to be zero. The class of surfaces of rotation of constant curvature is defined. The saddle surfaces of the Galilean space were studied and they are divided into two types: “saddle” and “cyclic saddle”. It is proved that there is no movement of Galilean space transforming a surface of one type into another. An example of a saddle surface of various types, which are equal in Euclidean space, is given. The saddle transfer surfaces were studied.