126 citations · 181 across the 14 of their papers we have counts for
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math.DG2019
On Poisson structures arising from a Lie group action
G. M. Beffa, E. L. Mansfield
We investigate some infinite dimensional Lie algebras and their associated Poisson structures which arise from a Lie group action on a manifold. If is a Lie group, $\g$ its Lie…
math.DG2019
On the use of the Rotation Minimising Frame for Variational Systems with Euclidean Symmetry
E. L. Mansfield, A. Rojo-Echeburua
We study variational systems for space curves, for which the Lagrangian or action principle has a Euclidean symmetry, using the Rotation Minimising frame, also known as the Normal,…
math.DG2013★ 13 cited
Moving Frames and Noether's Conservation Laws - the General Case
Tânia M. N. Gonçalves, Elizabeth L. Mansfield
In recent works, the authors considered various Lagrangians, which are invariant under a Lie group action, in the case where the independent variables are themselves invariant. Usi…