Constant scalar curvature Kahler metric and K-energy

Details Constant scalar curvature Kahler metric and K-energy Constant scalar curvature Kahler metric and K-energy

2009-10-02

arxiv.org/abs/0910.0421v2

Mathematics

Differential Geometry

9 pages

Scientific paper

Based on Donaldson's method, we prove that, for an integral Kahler class,
when there is a Kahler metric of constant scalar curvature, then it minimizes
the K-energy. We do not assume that the automorphism group is discrete.

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