| Full text | |
| Author(s): |
Mochida, D. K. H.
;
Romero-Fuster, M. C.
;
Ruas, Maria Aparecida Soares
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Rocky Mountain Journal of Mathematics; v. 33, n. 3, p. 995-1009, 2003. |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
| Abstract | |
We define asymptotic direction fields on surfaces embedded in R5 and characterize their critical points both as umbilics of heigth functions and as singular points of order 2 of the embedding in Feldman's sense. We show that there are at least one and at most five of these fields defined locally at each point of a generically embedded closed surface. We use this viewpoint in order to consider the existence of singular points of order 2 on a given surface. (AU) | |
| FAPESP's process: | 97/10735-3 - Singularidades, geometria e equacoes diferenciais. |
| Grantee: | Maria Aparecida Soares Ruas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 97/13335-6 - Geometria genetica de subvariedades com codimensao 2 em irn. |
| Grantee: | Dirce Kiyomi Hayashida Mochida |
| Support Opportunities: | Regular Research Grants |