Uniqueness of constant scalar curvature Kähler metrics

Uniqueness of constant scalar curvature Kähler metrics

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Song Sun, University of Wisconsin
Fine Hall 314

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