The Birkhoff-Lewis Fixed Point Theorem and a Conjecture of V.I. Arnold.
The compact category and mulitple periodic solutions of Hamiltionian systems on symmetric starshaped energy surfaces.
The cyclic homology of
The Differentiable Structure of Three Remarkable Diffeomorphism Groups.
The geography of simply-connected symplectic manifolds
By using the Seiberg-Witten invariant we show that the region under the Noether line in the lattice domain is covered by minimal, simply connected, symplectic 4-manifolds.
The hamiltonian formalism in higher order variational problems
The Hörmander and Maslov classes and Fomenko's conjecture.
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology.
The Lagrange Intersections for (CPn, RPn).
The Lagrange rigid body motion
We discuss the motion of the three-dimensional rigid body about a fixed point under the influence of gravity, more specifically from the point of view of its symplectic structures and its constants of the motion. An obvious symmetry reduces the problem to a Hamiltonian flow on a four-dimensional submanifold of ; they are the customary Euler-Poisson equations. This symplectic manifold can also be regarded as a coadjoint orbit of the Lie algebra of the semi-direct product group with its natural...
The Lagrangian and Hamiltonian formulations for the waves in a compressible fluid with the Hall current.
In questo lavoro si ricavano: 1) l'equazione d'onda linearizzata, 2) la formulazione Lagrangiana, 3) la formulazione Hamiltoniana, nella teoria della propagazione ondosa in un fluido comprimibile descritto dalle equazioni della magnetofluidodinamica ideale in presenza di corrente Hall.
The Legendre transformation
The Lie structure of C* and Poisson algebras
The minimal period problem of classical hamiltonian systems with even potentials
The obstacle problem and direct products of unfurled swallowtails
The reduction of symplectic structure and Sternberg construction
The singularities of Yang-Mills connections for bundles on a surface.
The Surgery of Lagrange Submanifolds.
The symbol of a lagrangian distribution
The symplectic geometry of affine connenctions on surfaces.