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Geometry of singular surfaces

Grant number: 19/10156-4
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): March 01, 2020
Effective date (End): December 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Luciana de Fátima Martins
Grantee:Samuel Paulino dos Santos
Supervisor abroad: Kentaro Saji
Home Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
Local de pesquisa : Kobe University, Japan  
Associated to the scholarship:18/17712-7 - Geometry of singular surfaces, BP.DR

Abstract

Our main goal is to investigate local properties of singular surfaces in R3, such as those of revolution obtained from singular profile curves or those that are focal surfaces of singular surfaces of revolution. It is also intended to explore other singular surfaces, such as generalised helicoids, among others that may arise during the study. We intend to obtain geometric properties, invariants associated with singularities and formulas related to them, as well as relations between the geometrical properties of the focal surface and of the initial surface of revolution.