Abstract
Corresponding to the group of all analytic transformations there is a differential geometry
of what is called the affinely connected space, which
is a generalization of the ordinary affine geometry in
the sense of Klein. If the transformation functions
of this group are all homogeneous of degree one with
respect to their arguments, we have the generalized
projective group, the corresponding geometry being
Schouten's projective differential geometry *) . Similarly a conformal differential geometry is now being
developed t) on the basis of the group of all conformal transformations in an underlying Riemannian space.
