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Ancient solutions on bundles with non-abelian structural group
Communications in Analysis and Geometry  (IF0.736),  Pub Date : 2020-01-01, DOI: 10.4310/cag.2020.v28.n1.a5
Peng Lu, Y. K. Wang

We generalize the ancient solutions of the Ricci flow on certain principal ${\rm SO}(3)$ bundles over compact quaternionic K\"ahler manifolds constructed by Bakas, Kong, and Ni to certain $RP^3$ 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.