12/11/2009

Song Sun
University of Wisconsin

Uniqueness of constant scalar curvature K\"ahler metrics

We will show that constant scalar curvature K\"ahler(cscK) metric "adjacent" to a given K\"ahler class is unique up to isomorphism. This generalizes the previous uniqueness theorems of Chen-Tian and Donaldson, where the complex structure is fixed. This is joint work with X-X. Chen.