Totally geodesic submanifolds in homogeneous spaces

• Grant number: 25/00281-7
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2025
• End date: March 31, 2029
• 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: 22/16097-2 - Modern methods in differential geometry and geometric analysis, AP.TEM

Abstract

This project aims to study totally geodesic submanifolds in homogeneous spaces. In particular, we will study circular bundles over Hermitian symmetric spaces and generalized flag manifolds.