Geometric aspects of singularities of mappings from the plane to the tridimensiona...
Vanishing homology and multiple-point spaces of singular maps
Geometry of manifolds in the euclidian space and in the Minkowski space
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Av Trabalhador Saocarlense 400, BR-13566590 Sao Carlos, SP - Brazil
[2] Univ Valencia, Dept Matemat, Campus Burjassot, E-46100 Burjassot - Spain
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | QUARTERLY JOURNAL OF MATHEMATICS; v. 70, n. 3, p. 767-795, SEP 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the geometry of surfaces in R-4 with corank 1 singularities. For such surfaces, the singularities are isolated and, at each point, we define the curvature parabola in the normal space. This curve codifies all the second-order information of the surface. Also, using this curve, we define asymptotic and binormal directions, the umbilic curvature and study the flat geometry of the surface. It is shown that we can associate to this singular surface a regular one in R-4 and relate their geometry. (AU) | |
| FAPESP's process: | 14/00304-2 - Singularities of differentiable mappings: theory and applications |
| Grantee: | Maria Aparecida Soares Ruas |
| Support Opportunities: | Research Projects - Thematic Grants |