Work

On Conformally Kaehler, Einstein Manifolds

Year: 2007
Type: preprint
Abstract: 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.
Language: English
Open Access status: green
OpenAlex ID: W2076774985
Cites: 35
Cited by: 25
Related to: 10