47 citations · 324 across the 68 of their papers we have counts for
63 papers · 1 filter
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 o…
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 sa…
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 behavi…
The Lee--Gauduchon cone on complex manifolds
Liviu Ornea, Misha Verbitsky
Let be a compact complex -manifold. A Gauduchon metric is a Hermitian metric whose fundamental 2-form satisfies the equation . Paul Gauduchon has proven…
Balanced metrics and Gauduchon cone of locally conformally Kahler manifolds
Liviu Ornea, Misha Verbitsky
A complex Hermitian -manifold is called locally conformally Kahler (LCK) if , where is a closed 1-form, balanced if is closed, and SKT if $…
Bimeromorphic geometry of LCK manifolds
Liviu Ornea, Misha Verbitsky
A locally conformally Kähler (LCK) manifold is a complex manifold which has a Kähler structure on its cover, such that the deck transform group acts on it by homotheties. Assum…