Intrinsic holonomy and curved cosets of Cartan geometries

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