Mathematics – Differential Geometry
Scientific paper
2007-05-07
Mathematics
Differential Geometry
45 pages, 9 figures. Simplified proof of Lemma 25. Several minor corrections to section 5
Scientific paper
We prove that any compact complex surface with positive first Chern class
admits an Einstein metric which is conformally related to a Kaehler metric. The
key new ingredient is the existence of such a metric on the blow-up of the
complex projective plane at two distinct points.
Chen Xiuxiong
LeBrun Claude
Weber Brian
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