The geometry of weakly selfdual Kahler surfaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study Kahler surfaces with harmonic anti-selfdual Weyl tensor. We provide an explicit local description, which we use to obtain the complete classification in the compact case. We give new examples of extremal Kahler metrics, including Kahler-Einstein metrics and conformally Einstein Kahler metrics. We also extend some of our results to almost Kahler 4-manifolds, providing new examples of Ricci-flat almost Kahler metrics which are not Kahler.
LaTeX, 38 pages; two references added

Keywords

Differential Geometry, Algebraic Geometry, 53C55; 53C25, 53B35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/61361

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104233
 http://arxiv.org/abs/math/0104233
 Compositio Math. 135 (2003) 279-322

Collections

arXiv