7 citations · 15 across the 8 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math-ph2023
An energy-momentum method for ordinary differential equations with an underlying -polysymplectic manifold
Leonardo Colombo, Javier de Lucas, Xavier Rivas +1
This work presents a comprehensive review of the -polysymplectic Marsden-Weinstein reduction theory, rectifying prior errors and inaccuracies in the literature while introducing…
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…
math-ph2023★ 3 cited
Cosymplectic geometry, reductions, and energy-momentum methods with applications
J. de Lucas, A. Maskalaniec, B. M. Zawora
Classical energy-momentum methods study the existence and stability properties of solutions of -dependent Hamilton equations on symplectic manifolds whose evolution is given by…