Ricci flows and bracket flows on twisted principal bundles

Henry Wood

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arXiv · 2611.02477

Ricci flows and bracket flows on twisted principal bundles

Henry Wood

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Abstract

We show that Ricci flows of invariant metrics on twisted principal bundles with nilpotent fibres over $S^1$ are immortal and type III. After normalisation and lift to the universal cover, a sequence of metrics converges in the Cheeger--Gromov topology to a homogeneous expanding Ricci soliton. The proof extends the bracket flow technique from homogeneous Ricci flows to invariant Ricci flows on twisted principal bundles.

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BibTeX RIS

Henry Wood. 2026-11-02. Ricci flows and bracket flows on twisted principal bundles. https://arxiv.org/abs/2611.02477

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