ON THE INDEX OF PRINCIPAL FOLIATIONS OF SURFACES IN R-3 WITH CORANK 1 SINGULARITIES

Autor(es)

Costa, J. C. F. ; Martins, L. F. ; Nuno-Ballesteros, J. J.

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF SINGULARITIES; v. 22, p. 16-pg., 2020-01-01.

Resumo

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)

• Processo FAPESP: 18/19610-7 - Geometria de superfícies singulares no espaço Euclidiano
• Beneficiário: Luciana de Fátima Martins
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 18/25157-3 - Invariantes de singularidades reais, pares de germes e problemas de classificação
• Beneficiário: João Carlos Ferreira Costa
• Modalidade de apoio: Auxílio à Pesquisa - Regular