Differential invariants of immersions of manifolds with metric fields (Q1885617)

The main results of this article state that all \(r\)-order differential invariants depending on an immersion \(f: M\to N\) of smooth manifolds equipped with metric fields can be factorized through the metrics, the curvature tensors and their covariant differentials, up to order \(r-2\), and the covariant differentials of the tangent map \(Tf\), up to order \(r\).