65 citations · 261 across the 23 of their papers we have counts for
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math.DG2023★ 1 cited
On Darboux theorems for geometric structures induced by closed forms
Xavier Gràcia, Javier de Lucas, Xavier Rivas +1
This work reviews the classical Darboux theorem for symplectic, presymplectic, and cosymplectic manifolds (which are used to describe regular and singular mechanical systems), and…
math.DG2023★ 4 cited
On k-polycosymplectic Marsden-Weinstein reductions
J. de Lucas, X. Rivas, S. Vilariño +1
We review and slightly improve the known k-polysymplectic Marsden--Weinstein reduction theory by removing some technical conditions on k-polysymplectic momentum maps by developing…