The notion of the interior geometry of a sub-Riemannian manifold M is introduced, that is the aggregate of those manifold properties that depend only on the framing D ⊥ of the distribution D of the sub-Riemannian manifold as well as on the parallel transport of the vectors tangent to the distribution D along the curves tangent to this distribution.The maininvariantsof the interiorgeometry of a sub-Riemannianmanifold M are the following: the Schouten curvature tensor; the 1-form η defining the distribution D; the Lie derivative L ~ ξ g ofthemetrictensorg alongavectorfield
