Revisiting 3-Sasakian and $G_2$-structures
Differential Geometry
2025-08-04 v1 High Energy Physics - Theory
Abstract
The algebra of exterior differential forms on a regular 3-Sasakian 7-manifold is investigated, with special reference to nearly-parallel 3-forms. This is applied to the study of 3-forms invariant under cohomogeneity-one actions by on the 7-sphere and on Berger's space .
Cite
@article{arxiv.2412.19525,
title = {Revisiting 3-Sasakian and $G_2$-structures},
author = {Simon Salamon and Ragini Singhal},
journal= {arXiv preprint arXiv:2412.19525},
year = {2025}
}
Comments
21 pages