Geometric Hamiltonian Structures on Flat Semisimple Homogeneous Manifolds
Geometric Hamiltonian Structures on Flat Semisimple Homogeneous Manifolds
In this paper we describe Poisson structures defined on the space of Serret-Frenet equations of curves in a flat homogeneous space G/H where G is semisimple.These structures are defined via Poisson reduction from Poisson brackets on Lg * , the space of Loops in g * .We also give conditions …