Cohomogeneity One Coassociative Submanifolds in the Bundle of Anti-self-dual 2-forms over the 4-sphere

Kotaro Kawai

Coassociative submanifolds are 4-dimensional calibrated submanifolds in $G_2$-manifolds. In this paper, we construct explicit examples of coassociative submanifolds in $Λ^{2}_{-}…