Reeb flows, pseudo-holomorphic curves and transverse foliations

Autor(es)

de Paulo, Naiara, V ; Salomao, Pedro A. S.

• Tipo de documento: Artigo Científico
• Fonte: SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 16, n. 1, p. 26-pg., 2022-02-07.

Resumo

Pseudo-holomorphic curves in symplectizations, as introduced by Hofer in 1993, and then developed by Hofer, Wysocki, and Zehnder, have brought new insights to Hamiltonian dynamics, providing new approaches to some classical questions in Celestial Mechanics. This short survey presents some recent developments in Reeb dynamics based on the theory of pseudo-holomorphic curves in symplectizations, focusing on transverse foliations near critical energy surfaces. (AU)

• Processo FAPESP: 16/25053-8 - Dinâmica e geometria em baixas dimensões
• Beneficiário: André Salles de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Temático