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arxiv: 1010.1859 · v1 · pith:YUGJQY7Hnew · submitted 2010-10-09 · 🧮 math.DG

The K-energy on small deformations of constant scalar curvature Kahler manifolds

classification 🧮 math.DG
keywords constantcurvaturek-energykahlerscalarsmallboundchen
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In this note we give a simplified proof of a recent result of X.X. Chen, which together with work of G. Szekelyhidi implies that on a sufficiently small deformation of a polarized constant scalar curvature Kahler manifold the K-energy has a lower bound.

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