Compatible Complex Structures on Twistor Spaces
Differential Geometry
2008-10-08 v1 Complex Variables
Abstract
Let (M,g) be a Riemannian 4-manifold. The twistor space Z->M is a CP1-bundle whose total space Z admits a natural metric h. The aim of this article is to study properties of complex structures on (Z,h) which are compatible with the CP1-fibration and the metric h. The results obtained enable us to translate some metric properties on M in terms of complex properties on its twistor space Z.
Cite
@article{arxiv.0810.1135,
title = {Compatible Complex Structures on Twistor Spaces},
author = {Guillaume Deschamps},
journal= {arXiv preprint arXiv:0810.1135},
year = {2008}
}
Comments
23 pages