The existence of closed 3-forms of $\tilde G_2$-type on 7-manifolds
Differential Geometry
2008-05-05 v5
Abstract
In this note we construct a first example of a closed 3-form of -type on . We prove that does not admit a homogeneous 3-form of -type. Thus our example is a first example of a closed 3-form of -type on a compact 7-manifold which is not stably homogeneous.
Cite
@article{arxiv.math/0603182,
title = {The existence of closed 3-forms of $\tilde G_2$-type on 7-manifolds},
author = {Hong-Van Le},
journal= {arXiv preprint arXiv:math/0603182},
year = {2008}
}
Comments
10 pages, extended version of the first part of the previously submitted note. The second part of this note has been revised, extended and appeared in Archivum Math. 43 (2007) 443-457