Formally, a frame on a homogeneous space "G"/"H" consists of a point in the tautological bundle "G" → "G"/"H". A moving frame is a section of this bundle. It is "moving" in the sense that as the point of the base varies, the frame in the fibre changes by an element of the symmetry group "G". A moving frame on a submanifold "M" of "G"/"H" is a section of the pullback of the tautological bundle to "M". Intrinsically a moving frame can be defined on a principal bundle "P" over a manifold. In this case, a moving frame is given by a "G"-equivariant mapping φ : "P" → "G", thus "framing" the manifold by elements of the Lie group "G".