Algebraic, topological and analytical techniques in differential geometry and geom...
Geometry of Riemannian, semi-Riemannian varieties and actions of Lie groups
Submanifold geometry and Morse theory in finite and infinite dimensions
Grant number: | 02/02528-8 |
Support Opportunities: | Research Projects - Thematic Grants |
Duration: | March 01, 2003 - March 31, 2007 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Paolo Piccione |
Grantee: | Paolo Piccione |
Host Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
Pesquisadores principais: | Claudio Gorodski ; Ruy Tojeiro de Figueiredo Junior |
Associated grant(s): | 05/51766-7 - Maurice de Gosson | Blekinge Institute of Technology Department of Mathematics - Suécia, AV.EXT |
Abstract
This project intends to explore several aspects of the rich interaction between Morse theory and global differential geometry, that is: on the level of semi-Riemannian geometry we will investigate strongly indefinite variational problems via infinite dimensional Morse homology, whereas on the level of Riemannian geometry the main lines of investigation relate to the construction of taut submanifolds (homogeneous or not) in Riemannian symmetric spaces via the study of polar and variationally complete actions and their generalizations. (AU)
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