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

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

2010-10-09

arxiv.org/abs/1010.1859v1

Mathematics

Differential Geometry

8 pages, submitted to the proceedings of "The Conference on Geometry"

Scientific paper

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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