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PreprintCC BY 4.0arXiv

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 S1 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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Cite

BibTeXRIS
BibTeX
@misc{wood2026ricci,
  title = {{Ricci flows and bracket flows on twisted principal bundles}},
  author = {Henry Wood},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.02477},
  eprint = {2611.02477},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.02477},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Ricci flows and bracket flows on twisted principal bundles
AU  - Henry Wood
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.02477
UR  - https://arxiv.org/abs/2611.02477
AB  - 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.
ER  -