7 citations · 30 across the 18 of their papers we have counts for
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math-ph2016★ 2 cited
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…
math.DG2016★ 3 cited
Lowest degree invariant 2nd order PDEs over rational homogeneous contact manifolds
Dmitri V. Alekseevsky, Jan Gutt, Gianni Manno +1
For each simple Lie algebra (excluding, for trivial reasons, type ) we find the lowest possible degree of an invariant second-order PDE over the adjoint var…
math.DG2016★ 7 cited
Completely exceptional order PDEs via conformal geometry and BGG resolution
Jan Gutt, Gianni Manno, Giovanni Moreno
By studying the development of shock waves out of discontinuity waves, in 1954 P. Lax discovered a class of PDEs, which he called 'completely exceptional', where such a transition…