On Conformally Kaehler, Einstein Manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
45 pages, 9 figures. Simplified proof of Lemma 25. Several minor corrections to section 5

Keywords

Differential Geometry, General Relativity and Quantum Cosmology, Algebraic Geometry, Analysis of PDEs, 53C25; 53C55

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/131488

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.0710
 http://arxiv.org/abs/0705.0710

Collections

arXiv