Geometric aspects of singularities of mappings from the plane to the tridimensiona...
| Full text | |
| Author(s): |
Costa, J. C. F.
;
Martins, L. F.
;
Nuno-Ballesteros, J. J.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF SINGULARITIES; v. 22, p. 16-pg., 2020-01-01. |
| Abstract | |
It is well known that the index associated to the principal foliations at a cross-cap point is 1/2. In this work we study the index for other corank 1 singularities from (R-2, 0) to (R-3, 0) which either are simple or are non-simple but included in strata of A(e)-codimension <= 3. We show that the index, under certain conditions, is always 0 or 1, bearing out that the Loewner conjecture could be true for all corank 1 singularities. (AU) | |
| FAPESP's process: | 18/19610-7 - Geometry of singular surfaces in Euclidean space |
| Grantee: | Luciana de Fátima Martins |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/25157-3 - Invariants of real singularities, pairs of germs and classification problems |
| Grantee: | João Carlos Ferreira Costa |
| Support Opportunities: | Regular Research Grants |