Special symplectic six-manifolds
Differential Geometry
2007-05-23 v1
Abstract
We classify nilmanifolds with an invariant symplectic half-flat structure. We solve the half-flat evolution equations in one example, writing down the resulting Ricci-flat metric. We study the geometry of the orbit space of 6-manifolds with an SU(3)-structure preserved by a U(1) action, giving characterizations in the symplectic half-flat and integrable case.
Cite
@article{arxiv.math/0601002,
title = {Special symplectic six-manifolds},
author = {Diego Conti and Adriano Tomassini},
journal= {arXiv preprint arXiv:math/0601002},
year = {2007}
}
Comments
18 pages