Symplectic and Poisson geometry on loop spaces of manifolds and nonlinear equations
Symplectic and Poisson geometry on loop spaces of manifolds and nonlinear equations
We consider some differential geometric classes of local and nonlocal Poisson and symplectic structures on loop spaces of smooth manifolds which give natural Hamiltonian and multihamiltonian representations for some important nonlinear equations of mathematical physics and field theory such as nonlinear sigma models with torsion, degenerate Lagrangian systems of field …