Geometric variational problems

• Grant number: 10/15502-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2011
• End date: July 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Claudio Gorodski
• Grantee: Stefano Nardulli
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 07/03192-7 - Submanifold geometry and Morse theory in finite and infinite dimensions, AP.TEM

Abstract

In this post-doctoral project at IME-USP, we intend to investigate some questions about isoperimetry and constant-mean-curvature hypersurfaces in symmetric spaces and more general spaces, by using and developing techniques in geometric measure theory, metric geometry, Riemannian geometry, Riemannian foliations, Calculus of variations and related fields.