Special Hermitian metrics

Cristian Ciulică

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arXiv · 2411.02567

Special Hermitian metrics

Cristian Ciulică

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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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Cristian Ciulică. 2024-11-04. Special Hermitian metrics. https://arxiv.org/abs/2411.02567

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