Symmetries in 4-dimensional Lorentz manifolds.
Symmetries in relativistic dynamics of a charged particle
Symmetries of connections on fibered manifolds
The (infinitesimal) symmetries of first and second-order partial differential equations represented by connections on fibered manifolds are studied within the framework of certain “strong horizontal“ structures closely related to the equations in question. The classification and global description of the symmetries is presented by means of some natural compatible structures, eġḃy vertical prolongations of connections.
Symmetrization of starlike domains in Riemannian manifolds and a qualitative generalization of Bishop's volume comparison theorem.
Symmetry and geometric evolution equations.
Symmetry and Overdetermined Boundary Value Problems.
Symmetry of Hypersurfaces of Constant Mean Curvature with Symmetric Boundary.
Symplectic connections with parallel Ricci tensor
A variational principle introduced to select some symplectic connections leads to field equations which, in the case of the Levi Civita connection of Kähler manifolds, are equivalent to the condition that the Ricci tensor is parallel. This condition, which is stronger than the field equations, is studied in a purely symplectic framework.
Symplectic convexity theorems and coadjoint orbits
Symplectic critical surfaces in Kähler surfaces
Let be a Kähler surface and be a closed symplectic surface which is smoothly immersed in . Let be the Kähler angle of in . We first deduce the Euler-Lagrange equation of the functional in the class of symplectic surfaces. It is , where is the mean curvature vector of in , is the complex structure compatible with the Kähler form in , which is an elliptic equation. We call such a surface a symplectic critical surface. We show that, if is a Kähler-Einstein surface with nonnegative...
Symplectic diffeomorphisms and the flux homomorphism.
Symplectic geometry and the relative Donaldson invariants of CP2.
Symplectic geometry on symplectic knot spaces.
Symplectic Killing spinors
Let be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one may easily...
Symplectic manifolds with contact type boundaries.
Symplectic models of groups with noncommutative spaces
Symplectic packings and algebraic geometry. (with an Appendix by Y. Karshon).
Symplectic rigidity of geodesic flows on two-step nilmanifolds
Symplectic spinor valued forms and invariant operators acting between them
Exterior differential forms with values in the (Kostant’s) symplectic spinor bundle on a manifold with a given metaplectic structure are decomposed into invariant subspaces. Projections to these invariant subspaces of a covariant derivative associated to a torsion-free symplectic connection are described.
Symplectic structure of the moduli space of sheaves on an abelian or K3 surface.