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Reeb flows and finite energy foliations

Grant number: 16/10466-5
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): August 01, 2016
Effective date (End): July 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Pedro Antonio Santoro Salomão
Grantee:Carolina Lemos de Oliveira
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:11/16265-8 - Low dimensional dynamics, AP.TEM


Pseudo-holomorphic curves have been shown to be an effective tool to atack problems in Hamiltonian dynamics. In this project, we study the existence of finite energy foliations associated to Reeb flows on co-orientable contact manifolds.

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
OLIVEIRA, Carolina Lemos de. 3-2-1 foliations for Reeb flows on S³. 2020. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.

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