132 citations · 1.9k across the 101 of their papers we have counts for
107 papers
Regular contact manifolds: a generalization of the Boothby-Wang theorem
Katarzyna Grabowska, Janusz Grabowski
A regular contact manifold is a manifold equipped with a globally defined contact form such that the topological space of orbits (trajectories) of the Reeb…
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…
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 canon…
A novel approach to contact Hamiltonians and contact Hamilton-Jacobi theory
Katarzyna Grabowska, Janusz Grabowski
We propose a novel approach to contact Hamiltonian mechanics which, in contrast to the one dominating in the literature, serves also for non-trivial contact structures. In this app…
Lifting statistical structures
Katarzyna Grabowska, Janusz Grabowski, Marek Kuś +1
We consider some natural (functorial) lifts of geometric objects associated with statistical manifolds (metric tensor, dual connections, skewness tensor, etc.) to higher tangent bu…
VB-structures and generalizations
Janusz Grabowski, Katarzyna Grabowska, Zohreh Ravanpak
Motivated by properties of higher tangent lifts of geometric structures, we introduce concepts of weighted structures for various geometric objects on a manifold F equipped with a…