20 citations · 42 across the 6 of their papers we have counts for
7 papers
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…
The Pentagram map on Grassmannians
Raul Felipe, Gloria Mari Beffa
In this paper we define a generalization of the pentagram map to a map on twisted polygons in the Grassmannian space Gr(n;mn). We define invariants of Grassmannian twisted polygons…
Integrable Flows for Starlike Curves in Centroaffine Space
Annalisa Calini, Thomas Ivey, Gloria Mari Beffa
We construct integrable hierarchies of flows for curves in centroaffine through a natural pre-symplectic structure on the space of closed unparametrized starlike cu…
Discrete moving frames and discrete integrable systems
Elizabeth Mansfield, Gloria Marí Beffa, Jing Ping Wang
Group based moving frames have a wide range of applications, from the classical equivalence problems in differential geometry to more modern applications such as computer vision. H…
On generalizations of the pentagram map: discretizations of AGD flows
Gloria Mari Beffa
In this paper we investigate discretizations of AGD flows whose projective realizations are defined by intersecting different types of subspaces in $\RP^m$. These maps are natural…
Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
Gloria Mari Beffa
In this paper we present an overview of the connection between completely integrable systems and the background geometry of the flow. This relation is better seen when using a grou…