Displaying similar documents to “Hyperbolicity of negatively curved Kähler manifolds.”

On compact astheno-Kähler manifolds

Koji Matsuo, Takao Takahashi (2001)

Colloquium Mathematicae

Similarity:

We prove that every compact balanced astheno-Kähler manifold is Kähler, and that there exists an astheno-Kähler structure on the product of certain compact normal almost contact metric manifolds.

Cegrell classes on compact Kähler manifolds

Sławomir Dinew (2007)

Annales Polonici Mathematici

Similarity:

We study Cegrell classes on compact Kähler manifolds. Our results generalize some theorems of Guedj and Zeriahi (from the setting of surfaces to arbitrary manifolds) and answer some open questions posed by them.

Compact lcK manifolds with parallel vector fields

Andrei Moroianu (2015)

Complex Manifolds

Similarity:

We show that for n > 2 a compact locally conformally Kähler manifold (M2n , g, J) carrying a nontrivial parallel vector field is either Vaisman, or globally conformally Kähler, determined in an explicit way by a compact Kähler manifold of dimension 2n − 2 and a real function.