3 citations · 9 across the 12 of their papers we have counts for
3 papers · 1 filter
Un-reduction in field theory, with applications
Alexis Arnaudon, Marco Castrillon Lopez, Darryl D. Holm
The un-reduction procedure introduced previously in the context of Mechanics is extended to covariant Field Theory. The new covariant un-reduction procedure is applied to the probl…
Covariant un-reduction for curve matching
Alexis Arnaudon, Marco Castrillon Lopez, Darryl D. Holm
The process of un-reduction, a sort of reversal of reduction by the Lie group symmetries of a variational problem, is explored in the setting of field theories. This process is app…
Cyclic Lorentzian Lie Groups
M. Castrillon Lopez, G. Calvaruso
We consider Lie groups equipped with a left-invariant cyclic Lorentzian metric. As in the Riemannian case, in terms of homogeneous structures, such metrics can be considered as dif…