Frölicher-Nijenhuis cohomology on $G_2$- and $\mathrm{Spin}(7)$-manifolds

Kotaro Kawai, Hông Vân Lê, Lorenz Schwachhöfer

In this paper we show that a parallel differential form $\Psi$ of even degree on a Riemannian manifold allows to define a natural differential both on ${\Omega }^{\ast }(M)$ and ${\Omega }^{\ast }(M,TM)$,…