Odd type generalized complex structures on 4-manifolds
Differential Geometry
2022-02-15 v2 Mathematical Physics
math.MP
Abstract
We prove that a compact smooth 4-manifold admits generalized complex structures of odd type if and only if it has a transversely holomorphic 2-foliation. Consequently, there exist generalized complex structures of odd type on a circle bundle over a closed Seifert fibered 3-manifold.
Keywords
Cite
@article{arxiv.1210.0953,
title = {Odd type generalized complex structures on 4-manifolds},
author = {Haojie Chen and Xiaolan Nie},
journal= {arXiv preprint arXiv:1210.0953},
year = {2022}
}
Comments
18 pages; v2: retitled, minor changes