| Texto completo | |
| Autor(es): |
dos Santos, Samuel P.
;
Teramoto, Keisuke
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS; v. 119, n. 4, p. 31-pg., 2025-09-13. |
| Resumo | |
We study singularities and geometric properties of surfaces given by the singular loci of normal congruence of frontals with pure-frontal singular points. These surfaces consist of the normal ruled surface and focal surfaces of the initial frontal. For the normal ruled surface, we give characterizations of singularities in terms of geometric invariants of the initial frontal defined on the set of singular points. For focal surfaces, we show relation between certain singularities of them and geometric property of the given frontal. Moreover, we consider behavior of Gaussian curvature of focal surfaces of frontal with a 5/2-cuspidal edge. (AU) | |
| Processo FAPESP: | 18/17712-7 - Geometria de superfícies singular |
| Beneficiário: | Samuel Paulino dos Santos |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 22/10370-9 - Sobre a geometria de superfícies singulares |
| Beneficiário: | Samuel Paulino dos Santos |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |