4 papers
Existence and classification of -contact structures
Robert Cardona, Cédric Oms
A -contact structure on a -manifold is a Jacobi structure on satisfying a transversality condition along the hypersurface . We show that, in three dimensions,…
Hydrodynamic and symbolic models of computation with advice
Robert Cardona
Dynamical systems and physical models defined on idealized continuous phase spaces are known to exhibit non-computable phenomena, examples include the wave equation, recurrent neur…
Periodic orbits and Birkhoff sections of stable Hamiltonian structures
Robert Cardona, Ana Rechtman
Stable Hamiltonian structures generalize contact forms and define a volume-preserving vector field known as the Reeb vector field. We study two aspects of Reeb vector fields define…
Stability is not open or generic in symplectic four-manifolds
Robert Cardona
Given an embedded stable hypersurface in a four-dimensional symplectic manifold, we prove that it is stable isotopic to a -close stable hypersurface with the following propert…