ON INFINITESIMAL RIGIDITY OF HYPERSURFACES IN EUCLIDEAN SPACE

ЗаглавиеON INFINITESIMAL RIGIDITY OF HYPERSURFACES IN EUCLIDEAN SPACE
Вид публикацияJournal Article
Година на публикуване2005
АвториIvanova-Karatopraklieva I
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том97
ключови думиEuclidian space, hypersurfaces, infinitesimal rigidity
Резюме

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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