3 papers
math.DS2026
Transverse foliations for two-degree-of-freedom mechanical systems
Naiara V. de Paulo, Seongchan Kim, Pedro A. S. Salomão +1
We investigate the dynamics of a two-degree-of-freedom mechanical system for energies slightly above a critical value. The critical set of the potential function is assumed to cont…
math.SG2024
Genus zero transverse foliations for weakly convex Reeb flows on the tight -sphere
Naiara V. de Paulo, Umberto Hryniewicz, Seongchan Kim +1
A contact form on the tight -sphere is called weakly convex if the Conley-Zehnder index of every Reeb orbit is at least . In this article, we study Reeb flows of…
math.SG2024
Reeb flows, pseudo-holomorphic curves and transverse foliations
Naiara V. de Paulo, Pedro A. S. Salomão
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,…