Geometry of manifolds in the euclidian space and in the Minkowski space
Singularities of binary differential equation and geometry of surfaces
Multi-local singularities of k-folding maps on curves and surfaces.
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589 - Saudi Arabia
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS; v. 22, n. 3, p. 507-530, JUL 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
In Nabarro (2011), we define and study the families of oe{''}-conjugate curve congruences and the families of reflected oe{''}-conjugate curve congruences , i = 1, 2, associated to a self-adjoint operator oe{''} on a smooth and oriented surface M endowed with a Lorentzian metric. These families parametrize parts of the pencils of forms that link the equation of the oe{''}-asymptotic (resp. oe{''}-characteristic) curves and that of the oe{''}-principal curves. There is a crucial difference with the Riemannian case due to the existence of lightlike curves. In this paper, we study the generic local singularities in the members of these families and describe the way they bifurcate within the families. (AU) | |
| FAPESP's process: | 10/16717-3 - About geometry of submanifolds in Minkowski space |
| Grantee: | Ana Claudia Nabarro |
| Support Opportunities: | Scholarships abroad - Research |