1 citations · 1 across the 2 of their papers we have counts for
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Reductions: precontact versus presymplectic
Katarzyna Grabowska, Janusz Grabowski
We show that contact reductions can be described in terms of symplectic reductions in the traditional Marsden-Weinstein-Meyer as well as the constant rank picture. The point is tha…
The regularity and products in contact geometry
Katarzyna Grabowska, Janusz Grabowski
We study regular contact manifolds whose Reeb vector field is complete and prove that they are canonically principal bundles with the structure group or …
Contact geometric mechanics: the Tulczyjew triples
Katarzyna Grabowska, Janusz Grabowski
We propose a generalization of the classical Tulczyjew triple as a geometric tool in Hamiltonian and Lagrangian formalisms which serves for contact manifolds. The rôle of the cano…
Contactifications: a Lagrangian description of compact Hamiltonian systems
Katarzyna Grabowska, Janusz Grabowski, Marek KuÅ +1
If is a contact form on a manifold such that the orbits of the Reeb vector field form a simple foliation on , then the presymplectic 2-form on i…