Special Hermitian metrics

Fuente: arXiv
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Main Author: Ciulică, Cristian
Format: Preprint
Published: 2024
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author Ciulică, Cristian
author_facet Ciulică, Cristian
contents We study the stability at blow-up and deformations of a class of Hermitian metrics whose fundamental two-form $ω$ satisfies the condition $\partial \bar \partial ω^k=0$, 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02567
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Special Hermitian metrics
Ciulică, Cristian
Differential Geometry
53C55
We study the stability at blow-up and deformations of a class of Hermitian metrics whose fundamental two-form $ω$ satisfies the condition $\partial \bar \partial ω^k=0$, 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.
title Special Hermitian metrics
topic Differential Geometry
53C55
url https://arxiv.org/abs/2411.02567