Liviu Ornea, Miron Stanciu: Special non-Kähler metrics - old and new, 327-340

Abstract:

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 behaviour at deformations and blow-up. We also describe a mechanism that several authors have used to construct examples of nilmanifolds admitting metrics with certain properties.

Key Words: Hermitian metric, balanced, locally conformally Kähler, pluriclosed, astheno-Kähler.

2020 Mathematics Subject Classification: Primary 53C55; Secondary 22E25, 32J18.

Download the paper in pdf format here.