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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.
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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.
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