Local rigidity of hypersurfaces in real Euclidean spaces. (Q5928689)

The authors introduce in this paper the notion of jet-rigidity as an intrinsec concept of a Riemannian manifold.\ Then they prove that this is equivalent to the existence of a complete system of order two. The principal result obtained in the paper consists in showing that isometric immersions of a jet-rigid Riemannian manifold into Euclidean space as a hypersurface are actually rigid. The paper ends with an example to prove that not every rigid hypersurface is jet-rigid.