The Morse index for minimal surfaces into the sphere S^3

• Grant number: 16/24515-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2017
• End date: February 28, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Fernando Manfio
• Grantee: Gabriel Capizani dos Santos
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry, AP.TEM

Abstract

The aim of this project is to realize a study about the Morse index of compact orientable minimal surfaces in the sphere S^3. (AU)