Title | ON INFINITESIMAL RIGIDITY OF HYPERSURFACES IN EUCLIDEAN SPACE |
Publication Type | Journal Article |
Year of Publication | 2005 |
Authors | Ivanova-Karatopraklieva I |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 97 |
Keywords | Euclidian 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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