The Cheeger-Gromoll Splitting Theorem and Applications

• Grant number: 22/13818-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2023
• End date: February 28, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Gorodski
• Grantee: Danielle Velloso Ferreira
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM

Abstract

Study Eschenburg and Heintzes proof of the Cheeger-Gromoll Splitting theorem. Study applications to the fundamental group of Riemannian manifolds with non-negative Ricci curvature and the homogeneous case.