Symplectic structures and cohomologies on some solvmanifolds.
Symplectic subvarieties of projective fibrations over symplectic manifolds
Given a symplectic fibration , with compact and symplectic and the fibres complex projective, we produce symplectic submanifolds of analytic in the vertical direction, and apply this to complex vector bundles on symplectic manifolds.
Symplectic Topology and Extemal Rays.
Symplectic Topology and Hamiltonian Dynamics.
Symplectic Topology and Hamiltonian Dynamics II.
Symplectic twistor operator and its solution space on
We introduce the symplectic twistor operator in symplectic spin geometry of real dimension two, as a symplectic analogue of the Dolbeault operator in complex spin geometry of complex dimension 1. Based on the techniques of the metaplectic Howe duality and algebraic Weyl algebra, we compute the space of its solutions on .
Sympletic Curvature Tensors.
Synchronizable observer fields and their restspaces.
Synge-Beil and Riemann-Jacobi jet structures with applications to physics.
Systole et invariant d'Hermite.
Systoles et applications selon Gromov
Systoles of a family of triangle surfaces.
Systoles on Riemann surfaces.
Systolic freedom of orientable manifolds
Systolic invariants of groups and -complexes via Grushko decomposition
We prove a finiteness result for the systolic area of groups. Namely, we show that there are only finitely many possible unfree factors of fundamental groups of -complexes whose systolic area is uniformly bounded. We also show that the number of freely indecomposable such groups grows at least exponentially with the bound on the systolic area. Furthermore, we prove a uniform systolic inequality for all -complexes with unfree fundamental group that improves the previously known bounds in this dimension....