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arXiv · 2006.15526

Deformation of Hermitian metrics

Man-Chun Lee·Ka-Fai Li
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Abstract

In this work, we study the deformation of Hermitian metrics with Chern connection. By adapting the conformal perturbation method of Aubin and Ehrlich to Hermitian setting, we prove that Hermitian metrics with quasi-positive (resp. quasi-negative) second Chern-Ricci curvature can be deformed to one with positive (resp. negative) curvature.

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Man-Chun Lee, Ka-Fai Li. 2020-07-02. Deformation of Hermitian metrics. https://arxiv.org/abs/2006.15526

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