The geometry of weakly selfdual Kahler surfaces
Differential Geometry
2007-05-23 v2 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0104233,
title = {The geometry of weakly selfdual Kahler surfaces},
author = {Vestislav Apostolov and David M. J. Calderbank and Paul Gauduchon},
journal= {arXiv preprint arXiv:math/0104233},
year = {2007}
}
Comments
LaTeX, 38 pages; two references added