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Morse theory and differential geometry

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)

Articles published in Agência FAPESP Newsletter about the research grant:
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VEICULO: TITULO (DATA)
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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, . (02/02528-8)

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