JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, cilt.25, sa.2, ss.154-170, 2019 (ESCI)
Euclidean and non-Euclidean geometries can be considered as spaces that are invariant under a given group of transformations [8]. The geometry established by this approach is called Cayley-Klein geometry. Galilean 4-space is simply defined as a Cayley-Klein geometry of the product space R x E-3 whose symmetry group is Galilean transformation group which has an important place in classical and modern physics.