TY - JOUR T1 - Complex Deformation of Critical Kähler Metrics AU - Li , Haozhao JO - Journal of Mathematical Study VL - 2 SP - 144 EP - 164 PY - 2017 DA - 2017/06 SN - 50 DO - http://doi.org/10.4208/jms.v50n2.17.02 UR - https://global-sci.org/intro/article_detail/jms/10006.html KW - Complex deformation, constant scalar curvature metrics, Kähler Ricci solitons, extremal solitons. AB -

In this paper, we use Pacard-Xu's methods to discuss the complex deformation of constant scalar curvature metrics in the case of fixed and varying complex structures. Moreover, we also discuss the complex deformation of Kähler-Ricci solitons.