HyperKahler Contact Distributions

Hassan Attarchi, Fatemeh Babaei

Let $({\phi }_{\alpha },{\xi }_{\alpha },g)$ for $\alpha =1,2$, and $3$ be a contact metric $3$-structure on the manifold $M^{4n+3}$. We show that the $3$-contact distribution of this structure admits a HyperKahle…