Geometric deformations of curves in the Minkowski plane

• Grant number: 15/16177-2
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2016
• End date: February 28, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Farid Tari
• Grantee: Alex Paulo Francisco
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The project is about the problem of the existence of a versal deformation theory for germs of curves that take into consideration the deformation of the singularity of the curve as well as the deformation in its geometry (inflections, vertices and lightlike points). The project will also consider invariants associated to the singularity of the curve as well as its geometry and seek relations amongst them. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

FRANCISCO, Alex Paulo. Geometric deformations of curves in the Minkowski plane. 2019. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.