Deformation of Hermitian Metrics

Man Chun Lee, Ka Fai Li

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - Jun 28 2020

Keywords

  • Deformation
  • Hermitian metrics
  • Second Ricci curvature

ASJC Scopus subject areas

  • General

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