6 citations · 15 across the 7 of their papers we have counts for
8 papers
Levi's problem for complex homogeneous manifolds
Bruce Gilligan
Suppose is a connected complex Lie group and is a closed complex subgroup. Then there exists a closed complex subgroup of containing such that the fibration $π:…
Classification of Kaehler homogeneous manifolds of non-compact dimension two
Seyed Ruhallah Ahmadi, Bruce Gilligan
Suppose is a connected complex Lie group and is a closed complex subgroup such that is Kaehler and the codimension of the top non-vanishing homology group of …
Complexifying Lie group actions on homogeneous manifolds of non-compact dimension two
S. Ruhallah Ahmadi, Bruce Gilligan
If is a connected complex manifold with that admits the holomorphic and transitive action of a (connected) Lie group , then the action extends to an action of the…
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…