L. Ornea

activity

19992026

most citedMorse-Novikov cohomology of locally conformally Kähler manifolds

47 citations · 324 across the 68 of their papers we have counts for

collaborators

74 papers

math.DG2026

Locally Conformally Kähler Manifolds of Algebraic Codimension One

Liviu Ornea, Misha Verbitsky, Victor Vuletescu

A locally conformally Kähler (LCK) manifold is a manifold $M$ which admits a Kähler structure on its universal cover $M ~$ , in such a way that the monodromy acts conformally o…

math.DG2026

Dolbeault cohomology of Endo-Pajitnov manifolds

Liviu Ornea, Miron Stanciu

Endo-Pajitnov manifolds are compact non-Kähler manifolds which generalize the Inoue surfaces $S_{M}$ to higher dimensions. We compute their Dolbeault cohomology and show that they sa…

math.AG2026

Coherent sheaves on subvarieties in Hopf manifolds

Liviu Ornea, Misha Verbitsky

We prove a version of GAGA theorem for a normal complex analytic variety $X$ equipped with an invertible holomorphic contraction $γ$ with center in $x$ . We show that $X$ admits a n…

math.DG2025

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…

math.DG2024

The Lee--Gauduchon cone on complex manifolds

Liviu Ornea, Misha Verbitsky

Let $M$ be a compact complex $n$ -manifold. A Gauduchon metric is a Hermitian metric whose fundamental 2-form $ω$ satisfies the equation $d d^{c} (ω^{n - 1}) = 0$ . Paul Gauduchon has proven…

math.DG2024★ 1 cited

Balanced metrics and Gauduchon cone of locally conformally Kahler manifolds

Liviu Ornea, Misha Verbitsky

A complex Hermitian $n$ -manifold $(M, I, ω)$ is called locally conformally Kahler (LCK) if $d ω = θ \land ω$ , where $θ$ is a closed 1-form, balanced if $ω^{n - 1}$ is closed, and SKT if $…