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| Author(s): |
Samuel Paulino dos Santos
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São José do Rio Preto. 2022-10-11. |
| Institution: | Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto |
| Defense date: | 2022-08-31 |
| Advisor: | Luciana de Fátima Martins; Kentaro Saji |
| Abstract | |
This work seeks to study the geometry of some especific classes of singular surfaces which are not necessarily fronts or non-degenerated singularities. We study the singular surfaces D4 , when it is given as a bifurcation set of a deformation; this surface is a front which has a degenerated singular point. We also study a class of singular surfaces called σ-edges, which are frontals, but are fronts or non-degenerated singular points in very specific cases. At last, we study the geometry of the focal set of singular surface which are frontal but not front in every singular point; such surfaces are called pure frontals. (AU) | |
| FAPESP's process: | 18/17712-7 - Geometry of singular surfaces |
| Grantee: | Samuel Paulino dos Santos |
| Support Opportunities: | Scholarships in Brazil - Doctorate |