48 citations · 134 across the 20 of their papers we have counts for
4 papers · 1 filter
An -principle for embeddings transverse to a contact structure
Robert Cardona, Francisco Presas
Given a class of embeddings into a contact or a symplectic manifold, we give a sufficient condition, that we call isocontact or isosymplectic realization, for this class to satisfy…
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,…
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…
Morse functions and contact convex surfaces
Robert Cardona, Cédric Oms
Let be a Morse function on a closed surface such that zero is a regular value and such that admits neither positive minima nor negative maxima. In this expository note,…