Generalized Hasimoto transform of one-dimensional dispersive flows into compact Riemann surfaces.
Generalized PN manifolds and separation of variables
The notion of generalized PN manifold is a framework which allows one to get properties of first integrals of the associated bihamiltonian system: conditions of existence of a bi-abelian subalgebra obtained from the momentum map and characterization of such an algebra linked with the problem of separation of variables.
Geometric modular action and transformation groups
Geometric physics.
Global dynamics of media with microstructure.
Gravitational scattering of electromagnetic field by Schwarzschild black-hole