Geometric applications of the maximum principle

• Grant number: 19/18940-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2019
• End date: June 14, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Fernando Manfio
• Grantee: Aires Eduardo Menani Barbieri
• 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 the maximum principle and some geometric applications. More precisely, we will study the Alexandrov's Theorem and a theorem about classification of properly embedded CMC-surfaces of finite topology in the Euclidean space.