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Ricci flows and bracket flows on twisted principal bundles

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2611.02477

Author: Wood, Henry

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225163035

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