| Full text | |
| Author(s): |
Nuno-Ballesteros, Juan J.
;
Sanchez, Luis
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Geometriae Dedicata; v. 183, n. 1, p. 1-24, AUG 2016. |
| Web of Science Citations: | 1 |
| Abstract | |
We introduce a new family of affine metrics on a locally strictly convex surface M in affine 4-space. Then, we define the symmetric and antisymmetric equiaffine planes associated with each metric. We show that if M is immersed in a locally strictly convex hyperquadric, then the symmetric and the antisymmetric planes coincide and contain the affine normal of the hyperquadric. In particular, any surface immersed in a locally strictly convex hyperquadric is affine semiumbilical with respect to the symmetric or antisymmetric equiaffine planes. (AU) | |
| FAPESP's process: | 11/21126-7 - On affine geometry and singularities |
| Grantee: | Luis Florial Espinoza Sánchez |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |