Geometry of Kaehler metrics and holomorphic foliation by discs

Details Geometry of Kaehler metrics and holomorphic foliation by discs Geometry of Kaehler metrics and holomorphic foliation by discs

2004-09-22

arxiv.org/abs/math/0409433v1

Mathematics

Differential Geometry

10 pages

Scientific paper

The purpose of this paper is to establish a partial regularity theory on
certain homogeneous complex Monge-Ampere equations. As consequences of this new
theory, we prove the uniqueness of extremal Kaehler metrics and give an
necessary condition for existence of extremal Kaehler metrics.

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