ON INFINITESIMAL RIGIDITY OF HYPERSURFACES IN EUCLIDEAN SPACE

Abstract

The infinitesimal rigidity of hypersurfaces in ${\mathbb{R}}^{n+1}$, $n\ge 3$, is considered. In section 1 we remind some definitions in the theory of the infinitesimal bendings (inf. b.). In section 2 we discuss the results in the papers [5 - 9]. In section 3 we consider our main result in the paper [10] and we give some geometric interpretations of the investigations in [10]. Finally we consider an example.