The Galilean space is a three dimensional complex projective space, P₃, in which the absolute figure {w ,f,I1, I2} consists of a real plane w (the absolute plane), a real line f ⊂ w (the absolute line) and two complex conjugate points, I1, I2∈f (the absolute points).
I suggest you to take a look at the following paper from http://www.emis.de/journals/BMAA/repository/docs/BMAA5_2_7.pdf
I.M.Yaglom,A Simple Non-Euclidean Geometry and Its Physical Basis.
Springer-Verlag,New York., 1979, Preface ix.
B. Divjak. Curves in pseudo-Galilean Geometry. Annales Univ. Bu-
dapest, 1998, 41: 117-128.
I suggest you to take a look at the following book:
A Simple
Non-Euclidean
Geometry and
Its Physical Basis
An Elementary Account of
Galilean Geometry and the
Galilean Principle of Relativity
Translated from the Russian
by Abe Shenitzer
With the Editorial Assistance
of Basil Gordon
1979 by Springer-Verlag New York Inc.
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