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math-ph2024★ 1 cited
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…
math-ph2005★ 1 cited
Geometrical Mechanics on algebroids
K. Grabowska, J. Grabowski, P. Urbański
A natural geometric framework is proposed, based on ideas of W. M. Tulczyjew, for constructions of dynamics on general algebroids. One obtains formalisms similar to the Lagrangian…