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arXiv · 2110.05818

Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces

Francesco Pediconi·Sammy Sbiti
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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.

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Francesco Pediconi, Sammy Sbiti. 2021-10-12. Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces. https://arxiv.org/abs/2110.05818

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