93 citations · 489 across the 46 of their papers we have counts for
21 papers · 1 filter
Dirac structures in nonholonomic mechanics
Katarzyna Grabowska, Michalina Borczyńska, Joanna Majsak +1
The concept of a Dirac algebroid, which is a linear almost Dirac structure on a vector bundle, was designed to generate phase equations for mechanical systems with linear nonholono…
Jacobi algebroids and Jacobi sigma models
Fabio Di Cosmo, Katarzyna Grabowska, Janusz Grabowski
The definition of an action functional for the Jacobi sigma models, known for Jacobi brackets of functions, is generalized to \emph{Jacobi bundles}, i.e., Lie brackets on sections…
Tulczyjew triple on the Atiyah algebroid with connection
Katarzyna Grabowska, Paweł Korzeb, Kuba Krawczyk
The Tulczyjew triple on a principal bundle with connection is constructed in a convenient trivialisation. A reduction by the structure group is performed leading to the triple on t…
Lie groupoids in information geometry
Katarzyna Grabowska, Janusz Grabowski, Marek Kuś +1
We demonstrate that the proper general setting for contrast (potential) functions in statistical and information geometry is the one provided by Lie groupoids and Lie algebroids. T…
Geometry of Routh reduction
Katarzyna Grabowska, Paweł Urbański
Routh reduction for Lagrangian systems with cyclic variable is presented as an example of Lagrangian reduction. It appears that Routhian, which is a generating object of reduced dy…
On a geometric framework for Lagrangian supermechanics
Andrew James Bruce, Katarzyna Grabowska, Giovanni Moreno
We re-examine classical mechanics with both commuting and anticommuting degrees of freedom. We do this by defining the phase dynamics of a general Lagrangian system as an implicit…