| ULB Research ⤶ |
Description of the Unit | Projects of the Unit | Composition |
| Collaborations of the Unit | Protected technologies | Publications | Skills |
Differential Geometry
Faculty of Sciences | Mathematics
(Code: ULB175)
► Complex, symplectic and contact geometry, quantisation and interactions (ARC)
No funding agency referenced.
This research project involves three inter-linked subjects: quantisation, symplectic geometry and Kähler geometry. The research will follow two main ...
► Kahler Geometry
No funding agency referenced.
Extremal Kähler metrics, when they exist, are ''canonical'' representatives of their Kähler class. Their existence is conjecturaly equiavlent to the ...
► Definite connections
No funding agency referenced.
An SO(3)-connection on a 4-manifold is called definite if its curvature is non-zero on every tangent 2-plane. Given such a connection the corresponding ...
► Complex geometry of flat bundles over hyperbolic 3-manifolds
No funding agency referenced.
The frame bundle X of a hyperbolic 3-manifold M is naturally a complex manifold with trivial canonical bundle. From this it is possible to give a holom ...
► Topological symplectic manifolds
No funding agency referenced.
Study and comparison of different definitions of topological symplectic manifolds. Tentative constructions of examples.
► Symplectic connections and symplectic geometry
No funding agency referenced.
Study of symplectic connections having certain curvature properties or solutions of a variational principle. Links with symplectic reduction and with p ...
► Deformation quantization of symplectic and Poisson manifolds
No funding agency referenced.
Classification, group actions, homomorphisms,involutions, representations.
► Classes of homogeneous symplectic manifolds and of symplectic symmetric spaces
No funding agency referenced.
Study of conformal actions for homogeneous symplectic manifolds and symplectic symmetric spaces.
► Multi-dimensional Morse theory
No funding agency referenced.
The central object is a map between manifolds. We consider the topological complexity both of the image and of the level sets of such maps as it can be ...
