SMI course "Conformal geometry, Cartan connection and locally conformally Kaehler structures"

Contact toric manifolds of arbitrary codimension and Levi-Kaehler reduction

Eveline Legendre

16 may 2018 -- 11:50

Cortona

Abstract.

We extend the theory of symplecticcontact toric structure to arbitrary codimension. The convex moment polytopecone is replaced by some manifold with corners into some Grassmanian. Then we developed the theory of KaehlerSasaki metrics on these objects with a particular focus on product of spheres. This is a joint work with V. Apostolov, D. Calderbank and P. Gauduchon.