Morse theory and differential geometry

• Grant number: 02/02528-8
• Support Opportunities: Research Projects - Thematic Grants
• Start date: March 01, 2003
• End date: 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
• City of the host institution: São Paulo
• Principal investigators: Claudio Gorodski ; Ruy Tojeiro de Figueiredo Junior
• Associated research 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)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

EIDAM‚ J.C.C.; PICCIONE‚ P.. A generalization of Yoshida-Nicolaescu theorem using partial signatures. MATHEMATISCHE ZEITSCHRIFT, v. 255, n. 2, p. 357-372, 2007. (02/02528-8)