  We provide an intrinsic notion of curved cosets for arbitrary Cartan
geometries, simplifying the existing construction of curved orbits for a given
holonomy reduction. To do this, we define an intrinsic holonomy group, which is
shown to coincide precisely with the standard definition of the holonomy group
for Cartan geometries in terms of an associated principal connection. These
curved cosets retain many characteristics of their homogeneous counterparts,
and they behave well under the action of automorphisms. We conclude the paper
by using the machinery developed to generalize the de Rham decomposition
theorem for Riemannian manifolds and give a potentially useful characterization
of inessential automorphism groups for parabolic geometries.
