18 citations · 59 across the 12 of their papers we have counts for
11 papers · 1 filter
Schottky groups acting on homogeneous rational manifolds
Christian Miebach, Karl Oeljeklaus
We systematically study Schottky group actions on homogeneous rational manifolds and find two new families besides those given by Nori's well-known construction. This yields new ex…
A generalization of Sankaran and LVMB manifolds
Laurent Battisti, Karl Oeljeklaus
In this paper we describe the construction of a new class of non-Kähler compact complex manifolds. They can be seen as a generalization of Sankaran, OT and LVMB manifolds. Moreover…
Holomorphic line bundles over domains in Cousin groups and the algebraic dimension of OT-manifolds
Laurent Battisti, Karl Oeljeklaus
In this paper we extend results due to Vogt on line bundles over Cousin groups to the case of domains stable by the maximal compact subgroup. This is used in the sequel to show tha…
Pseudoconvex domains spread over complex homogeneous manifolds
Bruce Gilligan, Christian Miebach, Karl Oeljeklaus
Using the concept of inner integral curves defined by Hirschowitz we generalize a recent result by Kim, Levenberg and Yamaguchi concerning the obstruction of a pseudoconvex domain…
Homogeneous Kähler and Hamiltonian manifolds
Bruce Gilligan, Christian Miebach, Karl Oeljeklaus
We consider actions of reductive complex Lie groups on Kähler manifolds such that the --action is Hamiltonian and prove then that the closures of the --orbits are…
Homogeneous CR-solvmanifolds as Kahler obstructions
Bruce Gilligan, Karl Oeljeklaus
We give a precise characterization when a compact homogeneous CR-solvmanifold is CR-embeddable in a Kahler manifold. Equivalently this gives a non-Kahler criterion for complex mani…