Infinitesimal rigidity of Euclidean submanifolds (Q803540)

A submanifold \(M^ n\) of the Euclidean space \({\mathbb{R}}^ n\) is said to be infinitesimally rigid if any smooth variation which is isometric to first order is trivial. The main purpose of this paper is to show that local or global conditions which are well known to imply isometric rigidity also imply infinitesimal rigidity.