Solutions of Yang-Mills equations on generalized Hopf bundles (Q1602428)

The authors construct natural connections on the generalized Hopf fibrations over the projective spaces \(\mathbb{C} P^{(p,q)}\) and \(\mathbb{H} P^{(p, q)}\) and over the para-complex and para-quaternionic projective spaces \(\widetilde \mathbb{C} P^{(p,q)}\) and \(\widetilde\mathbb{H} P^{(p,q)}\). They prove that these connections are self-dual. Finally, they give local representations of these connections.