An integral formula for $G_2$-structures
Differential Geometry
2021-11-08 v3
Abstract
We apply an integral formula obtained by the author for a general --structure to the case of . We derive an integral formula relating curvatures and some quadratic invariants of the endomorphism induced by the intrinsic torsion. We interpret the formula in certain special cases.
Cite
@article{arxiv.2012.14709,
title = {An integral formula for $G_2$-structures},
author = {Kamil Niedzialomski},
journal= {arXiv preprint arXiv:2012.14709},
year = {2021}
}
Comments
14 pages; minor modifications