Embedded minimal surfaces in R^3

• Grant number: 19/04344-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2019
• End date: April 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Fernando Manfio
• Grantee: Cairo Henrique Duque da Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM

Abstract

This research project concern a first study about minimal surfaces in the tridimensinal Euclidean space. More precisely, we will study a theorem due to López-Ros, that state the only embedded minimal surfaces, with finite total curvature and genus zero in R^3 are the plane and the catenoid.