Curves and surfaces in Galilei space

In this thesis, firstly the fundamental definitions on curves and surfaces which are an important research area of differential geometry are briefly explained. Later, the basic definitions of Euclidean space and Galilei space and other notions which will shed light on the study of thesis are given. Then the curves in 3-dimensional Galilei space are given in detail. Finally, the theme of surfaces in 3-dimensional Galilei space are given in detail. Moreover, by calculating Gauss and mean curvatures of some types surfaces, several classifications in literatüre for these are provided.