Killing-Yano equations and G-structures

G. Papadopoulos

We solve the Killing-Yano equation on manifolds with a $G$-structure for $G=SO(n),U(n),SU(n),Sp(n)\cdot Sp(1),Sp(n),G_2$ and $Spin(7)$. Solutions include nearly-Kähler, weak h…