Geometry of manifolds in the euclidian space and in the Minkowski space
Qualitative theory of differential equations and singularity theory
| Full text | |
| Author(s): |
Deolindo-Silva, Jorge Luiz
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Fed Santa Catarina, Dept Matemat, Blumenau, SC - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 52, n. 3, p. 591-612, SEP 2021. |
| Web of Science Citations: | 1 |
| Abstract | |
We establish cross-ratio invariants for surfaces in 4-space in an analogous way to Uribe-Vargas's work for surfaces in 3-space. We study the geometric locii of local and multi-local singularities of orthogonal projections of the surface to 3-space. Cross-ratio invariants at P-3(c)-points are used to recover two moduli in the 4-jet of a projective parametrization of the surface and identify the stable configurations of the asymptotic curves of the surface. (AU) | |
| FAPESP's process: | 12/00066-9 - On the geometry of surfaces in R4 |
| Grantee: | Jorge Luiz Deolindo Silva |
| Support Opportunities: | Scholarships in Brazil - Doctorate |