The Bernstein theorem on minimal surfaces

• Grant number: 13/14534-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2013
• End date: March 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Fernando Manfio
• Grantee: Átila Prates Correia
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

In this project we will study the stable minimal surfaces, culminating with a celebrated result by Bernstein, that asserts that the only minimal graphs over the entire plane are graphs given by affine functions, which means that the graphs are planes.