References of "Journal of Geometric Mechanics"
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See detailOn a geometric framework for Lagrangian supermechanics
Bruce, Andrew UL; Grabowska, Katarzyna; Moreno, Giovanni

in Journal of Geometric Mechanics (2017), 9(4), 411-437

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 differential equation ... [more ▼]

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 differential equation in the spirit of Tulczyjew. Rather than parametrising our basic degrees of freedom by a specified Grassmann algebra, we use arbitrary supermanifolds by following the categorical approach to supermanifolds. [less ▲]

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See detailFree Courant and Derived Leibniz Pseudoalgebras
Jubin, Benoît; Poncin, Norbert UL; Uchino, Kyosuke

in Journal of Geometric Mechanics (2016), 8(1), 71-97

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See detailThe supergeometry of Loday algebroids
Grabowski, Janusz; Khudaverdyan, David UL; Poncin, Norbert UL

in Journal of Geometric Mechanics (2013), 5(2), 185--213

Detailed reference viewed: 126 (26 UL)