Deformation of Hermitian metrics
Differential Geometry
2020-07-03 v2
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.
Keywords
Cite
@article{arxiv.2006.15526,
title = {Deformation of Hermitian metrics},
author = {Man-Chun Lee and Ka-Fai Li},
journal= {arXiv preprint arXiv:2006.15526},
year = {2020}
}
Comments
10 pages; references added