Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces
Differential Geometry
2022-08-31 v2
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.
Keywords
Cite
@article{arxiv.2110.05818,
title = {Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces},
author = {Francesco Pediconi and Sammy Sbiti},
journal= {arXiv preprint arXiv:2110.05818},
year = {2022}
}
Comments
15 pages; Theorem A has been improved by removing the G-non-degeneracy hypothesis; Comments are welcome