| Texto completo | |
| Autor(es): |
And, Marcos Dajczer
;
Jimenez, Miguel Ibieta
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Proceedings of the American Mathematical Society; v. 152, n. 8, p. 9-pg., 2024-06-05. |
| Resumo | |
Classifying the nonflat hypersurfaces in Euclidean space f : M n -> R n+1 that locally admit smooth infinitesimal deformations that preserve the Gauss map infinitesimally was a problem only considered by Schouten in 1928 [Proceedings Amsterdam 31 (1928), pp. 208-218]. He found two conditions that are necessary and sufficient, with the first one being the minimality of the submanifold. The second is a technical condition that does not clarify much about the geometric nature of the hypersurface. In that respect, the parametric solution of the problem given in this note yields that the submanifold has to be Kaehler. (AU) | |
| Processo FAPESP: | 22/05321-9 - Sobre deformação de subvariedades |
| Beneficiário: | Miguel Ibieta Jimenez |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |