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Displaying similar documents to “On Automorphism Groups of Compact 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.

Three-manifolds and Kähler groups

D. Kotschick (2012)

Annales de l’institut Fourier

Similarity:

We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kähler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kähler compact complex surface is or 2 .