Special non-K\"ahler metrics -- old and new
Differential Geometry
2025-05-06 v1
Abstract
We give an account of old and new results concerning many types of non-K\"ahler 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.
Keywords
Cite
@article{arxiv.2505.01795,
title = {Special non-K\"ahler metrics -- old and new},
author = {Liviu Ornea and Miron Stanciu},
journal= {arXiv preprint arXiv:2505.01795},
year = {2025}
}
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11 pages