Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces
arXiv:2110.05818
Abstract
We prove a general existence theorem for collapsed ancient solutions to the Ricci flow on compact homogeneous spaces and we show that they converge in the Gromov-Hausdorff topology, under a suitable rescaling, to an Einstein metric on the base of a torus fibration. This construction generalizes all previous known examples in the literature.
15 pages; Theorem A has been improved by removing the G-non-degeneracy hypothesis; Comments are welcome