Ancient Solutions on Bundles with Non-abelian Structural Group

We generalize the ancient solutions of the Ricci flow on certain principal $\mathrm{S}\mathrm{O}(3)$ bundles over compact quaternionic K"ahler manifolds constructed by Bakas, Kong, and Ni to certain $R{P}^3$ fibre bundles over a product of two compact quaternionic K"ahler manifolds. The ancient solutions are of Type I, $\kappa$-noncollapsed, and have positive Ricci curvature. Analogous solutions on even-dimensional non-K"ahlerian bundle spaces are also constructed.