Linear perturbations of metrics with holonomy Spin(7)
Differential Geometry
2021-07-09 v1
Abstract
We apply the method of linear perturbations to the case of Spin(7)-structures, showing that the only nontrivial perturbations are those determined by a rank one nilpotent matrix. We consider linear perturbations of the Bryant-Salamon metric on the spin bundle over that retain invariance under the action of Sp(2), showing that the metrics obtained in this way are isometric.
Keywords
Cite
@article{arxiv.2105.00787,
title = {Linear perturbations of metrics with holonomy Spin(7)},
author = {Diego Conti and Daniel Perolini},
journal= {arXiv preprint arXiv:2105.00787},
year = {2021}
}
Comments
13 pages