Ricci flow min model geometries

• Grant number: 24/01929-8
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: May 01, 2024
• End date: October 31, 2027
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Gorodski
• Grantee: Daniel Rotmeister Teixeira de Barros
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 22/16097-2 - Modern methods in differential geometry and geometric analysis, AP.TEM

Abstract

In this project we intend to investigate the Ricci flow on low dimensional model geometries and some classes of solvable Lie groups using the bracket flow, which is an approach to the Ricci flow on homogeneous manifolds. (AU)