The heat flow for Kahler fibrations
arXiv:1211.5696
Abstract
We establish global existence of smooth solutions to heat flow for Yang-Mills-Higgs functional on Kahler fibrations. As an application, we give a new proof of the key inequality for Mundet's Hitchin-Kobayashi correspondence theorem using the heat flow technique.
The author's name Aijin Lin was earlier known as Ling Lin. I am deeply sorry for any inconvenience that I have brought to you