An expository account of non-Kähler metric classes, their incompatibilities, and their stability, with all results cited from previous papers.
Special Hermitian metrics
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abstract
We study the stability at blow-up and deformations of a class of Hermitian metrics whose fundamental two-form $\omega$ satisfies the condition $\partial \bar \partial \omega^k=0$, for any $k$ between 1 and $n-1$ (where $n$ is the complex dimension of the manifold). We are motivated by the existence of compact complex manifold supporting such metrics.
fields
math.DG 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
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Special non-K\"ahler metrics -- old and new
An expository account of non-Kähler metric classes, their incompatibilities, and their stability, with all results cited from previous papers.