Minimal surfaces and the Weierstrass representation theorem

• Grant number: 17/23101-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2018
• End date: December 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Irene Ignazia Onnis
• Grantee: Vitória Soares dos Santos
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 16/24707-4 - Algebraic, geometric and differential topology, AP.TEM

Abstract

This project of scientific initiation proposes to introduce the student to the Differential Geometry through the study of some relevant topics in the theory of the surfaces in the three-dimensional Euclidean space. Specifically, we will study the fundamental stages of the history of the minimal surfaces arriving at the Weierstrass Representation Theorem and its use in the construction of examples. (AU)