Gloria Mari Beffa

Address: Madison, Wisconsin 53706, USA

E-mail: maribeff@math.wisc.edu

University: Department of Mathematics, University of Wisconsin

Publications:

Mari Beffa G., Olver P. J.

Poisson structures for geometric curve flows in semi-simple homogeneous spaces
2010, vol. 15, nos. 4-5, pp. 532-550

Abstract

We apply the equivariant method of moving frames to investigate the existence of Poisson structures for geometric curve flows in semi-simple homogeneous spaces. We derive explicit compatibility conditions that ensure that a geometric flow induces a Hamiltonian evolution of the associated differential invariants. Our results are illustrated by several examples of geometric interest.

Keywords: moving frame, Poisson structure, homogeneous space, invariant curve flow, differential invariant, invariant variational bicomplex

Citation: Mari Beffa G., Olver P. J., Poisson structures for geometric curve flows in semi-simple homogeneous spaces, Regular and Chaotic Dynamics, 2010, vol. 15, nos. 4-5, pp. 532-550

DOI:10.1134/S156035471004009X

Back to the list