6 papers
Locally Conformally Kähler Manifolds of Algebraic Codimension One
Liviu Ornea, Misha Verbitsky, Victor Vuletescu
A locally conformally Kähler (LCK) manifold is a manifold which admits a Kähler structure on its universal cover , in such a way that the monodromy acts conformally…
Dolbeault cohomology of Endo-Pajitnov manifolds
Liviu Ornea, Miron Stanciu
Endo-Pajitnov manifolds are compact non-Kähler manifolds which generalize the Inoue surfaces to higher dimensions. We compute their Dolbeault cohomology and show that they s…
Coherent sheaves on subvarieties in Hopf manifolds
Liviu Ornea, Misha Verbitsky
We prove a version of GAGA theorem for a normal complex analytic variety equipped with an invertible holomorphic contraction with center in . We show that admits a…
Conformal foliations, Kähler twists and the Weinstein construction
Paul-Andi Nagy, Liviu Ornea
We classify both local and global Kähler structures admitting totally geodesic homothetic foliations with complex leaves. The main building blocks are related to Swann's twists an…
Special non-Kähler metrics -- old and new
Liviu Ornea, Miron Stanciu
We give an account of old and new results concerning many types of non-Kähler metrics, with focus on the problem of their coexistence on compact complex manifolds, and their behav…
Principles of Locally Conformally Kahler Geometry
Liviu Ornea, Misha Verbitsky
An LCK (locally conformally Kahler) manifold is a complex manifold admitting a Kahler covering with monodromy acting by homotheties. Hopf manifolds and their submanifolds are the p…