Geometrial and analytical aspects of constant mean curvature immersions

• Grant number: 10/11808-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Effective date (Start): October 01, 2010
• Effective date (End): September 30, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paolo Piccione
• Grantee: Claudemir Silvino Leandro
• 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 the last decades, the study of immersion problems into three dimensional homogeneous Riemannian manifolds has increased significantly. Our research aims at results on eigenvalues of the Laplacian of compact surfaces immersed in these manifolds, with special emphasis on constant mean curvature surfaces.