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arXiv · 1403.2147

An integral inequality for constant scalar curvature metrics on Kähler manifolds

Ping Li
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Abstract

We present in this note a lower bound for the Calabi functional in a given Kähler class. This yields an integral inequality for constant scalar curvature metrics, which can be viewed as a refined version of Yau's Chern number inequality.

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Ping Li. 2014-03-10. An integral inequality for constant scalar curvature metrics on Kähler manifolds. https://doi.org/10.1016/j.aim.2015.10.012

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