Harmonic flow of $\mathrm{Spin}(7)$-structures

Shubham Dwivedi, Eric Loubeau, Henrique N. Sá Earp

We formulate and study the isometric flow of $\mathrm{Spin}(7)$-structures on compact $8$-manifolds, as an instance of the harmonic flow of geometric structures. Starting from a ge…