A simple construction of generalized complex manifolds
Differential Geometry
2013-04-09 v2
Abstract
We construct a natural generalized complex structure on the total space of any bundle endowed with a Chern connection and whose typical fibre is a homogeneous symplectic manifold. This extends known constructions of generalized complex structures on Lie groups and leads to natural examples of holomorphic maps between generalized complex manifolds.
Cite
@article{arxiv.1210.4693,
title = {A simple construction of generalized complex manifolds},
author = {Radu Pantilie},
journal= {arXiv preprint arXiv:1210.4693},
year = {2013}
}
Comments
4 pages, Proceedings of The Seventh Congress of Romanian Mathematicians, Brasov, Romania, 2011