ON INFINITESIMAL RIGIDITY OF HYPERSURFACES IN EUCLIDEAN SPACE

TitleON INFINITESIMAL RIGIDITY OF HYPERSURFACES IN EUCLIDEAN SPACE
Publication TypeJournal Article
Year of Publication2005
AuthorsIvanova-Karatopraklieva I
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume97
KeywordsEuclidian space, hypersurfaces, infinitesimal rigidity
Abstract

The infinitesimal rigidity of hypersurfaces in $\mathbb R^{n+1}$, $n\geq 3$, 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.

2000 MSC

53C24

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