Cross-Ratio Invariants for Surfaces in 4-Space

Autor(es)

Deolindo-Silva, Jorge Luiz ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Santa Catarina, Dept Matemat, Blumenau, SC - Brazil

• Tipo de documento: Artigo Científico
• Fonte: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 52, n. 3, p. 591-612, SEP 2021.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 12/00066-9 - Geometria de superfícies em R4
• Beneficiário: Jorge Luiz Deolindo Silva
• Modalidade de apoio: Bolsas no Brasil - Doutorado