Special Hermitian metrics

2024/11/04 by Ciulică, Cristian
#53C55 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.02567

Abstract

We study the stability at blow-up and deformations of a class of Hermitian metrics whose fundamental two-form ω satisfies the condition ∂ ∂ 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.

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