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Geometrial and analytical aspects of constant mean curvature immersions

Grant number: 10/11808-0
Support type:Scholarships in Brazil - Post-Doctorate
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
Home 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.