Geometry of singular surfaces

• Grant number: 19/10156-4
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: March 01, 2020
• End date: January 03, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luciana de Fátima Martins
• Grantee: Samuel Paulino dos Santos
• Supervisor: Kentaro Saji
• Host 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
• Institution abroad: 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 generalized 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. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

SAJI, KENTARO; DOS SANTOS, SAMUEL PAULINO. Geometry of bifurcation sets of generic unfoldings of corank two functions. MONATSHEFTE FUR MATHEMATIK, v. 196, n. 3, JUL 2021. (18/17712-7, 19/10156-4)