Manifolds admitting a $\tilde G_2$-structure
Algebraic Topology
2023-03-06 v2 Differential Geometry
Abstract
We find a necessary and sufficient condition for a compact 7-manifold to admit a -structure. As a result we find a sufficient condition for an open 7-manifold to admit a closed 3-form of -type.
Keywords
Cite
@article{arxiv.0704.0503,
title = {Manifolds admitting a $\tilde G_2$-structure},
author = {Hong-Van Le},
journal= {arXiv preprint arXiv:0704.0503},
year = {2023}
}
Comments
4 pages, a new shorter exposition is given. the result has been included as Appendix in arXiv:1912.03338