Bach-Flat Kaehler Surfaces
Differential Geometry
2017-02-14 v1 Complex Variables
Abstract
A Riemannian metric on a compact 4-manifold is said to be Bach-flat if it is a critical point for the L2-norm of the Weyl curvature. When the Riemannian 4-manifold in question is a Kaehler surface, we provide a rough classification of solutions, followed by detailed results regarding each case in the classification. The most mysterious case prominently involves 3-dimensional CR manifolds.
Cite
@article{arxiv.1702.03840,
title = {Bach-Flat Kaehler Surfaces},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:1702.03840},
year = {2017}
}
Comments
34 pages, LaTeX2e